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Finding the Fourth Proportional to 47,719, 65,854.38 and 27,578.44

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Solution

The fourth proportional to 47,719, 65,854.38 and 27,578.44 is: 38,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,719 : 65,854.38 = 27,578.44 : x
  2. Step 2: Convert to fraction form
    47,719/65,854.38 = 27,578.44/x
  3. Step 3: Cross multiply
    47,719x = 65,854.38 × 27,578.44
  4. Step 4: Simplify right side
    47,719x = 1,816,161,067.57
  5. Step 5: Solve for x
    x = 1,816,161,067.57/47,719
  6. Step 6: Final answer
    x = 38,059.50

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.