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Finding the Fourth Proportional to 47,683, 65,803.98 and 26,464.24

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Solution

The fourth proportional to 47,683, 65,803.98 and 26,464.24 is: 36,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,683 : 65,803.98 = 26,464.24 : x
  2. Step 2: Convert to fraction form
    47,683/65,803.98 = 26,464.24/x
  3. Step 3: Cross multiply
    47,683x = 65,803.98 × 26,464.24
  4. Step 4: Simplify right side
    47,683x = 1,741,452,319.68
  5. Step 5: Solve for x
    x = 1,741,452,319.68/47,683
  6. Step 6: Final answer
    x = 36,521.45

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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.