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Finding the Fourth Proportional to 101,584.48, 140,169.92 and 63,832

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Solution

The fourth proportional to 101,584.48, 140,169.92 and 63,832 is: 88,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,584.48 : 140,169.92 = 63,832 : x
  2. Step 2: Convert to fraction form
    101,584.48/140,169.92 = 63,832/x
  3. Step 3: Cross multiply
    101,584.48x = 140,169.92 × 63,832
  4. Step 4: Simplify right side
    101,584.48x = 8,947,326,333.44
  5. Step 5: Solve for x
    x = 8,947,326,333.44/101,584.48
  6. Step 6: Final answer
    x = 88,077.69

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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.