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Finding the Fourth Proportional to 71,649.74, 98,878.65 and 41,432.15

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Solution

The fourth proportional to 71,649.74, 98,878.65 and 41,432.15 is: 57,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,649.74 : 98,878.65 = 41,432.15 : x
  2. Step 2: Convert to fraction form
    71,649.74/98,878.65 = 41,432.15/x
  3. Step 3: Cross multiply
    71,649.74x = 98,878.65 × 41,432.15
  4. Step 4: Simplify right side
    71,649.74x = 4,096,755,058.60
  5. Step 5: Solve for x
    x = 4,096,755,058.60/71,649.74
  6. Step 6: Final answer
    x = 57,177.53

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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.