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Finding the Fourth Proportional to 63,642.38, 87,829.25 and 35,348.06

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Solution

The fourth proportional to 63,642.38, 87,829.25 and 35,348.06 is: 48,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,642.38 : 87,829.25 = 35,348.06 : x
  2. Step 2: Convert to fraction form
    63,642.38/87,829.25 = 35,348.06/x
  3. Step 3: Cross multiply
    63,642.38x = 87,829.25 × 35,348.06
  4. Step 4: Simplify right side
    63,642.38x = 3,104,593,641.59
  5. Step 5: Solve for x
    x = 3,104,593,641.59/63,642.38
  6. Step 6: Final answer
    x = 48,781.86

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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.