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Finding the Fourth Proportional to 71,661.68, 98,892.68 and 39,830.38

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Solution

The fourth proportional to 71,661.68, 98,892.68 and 39,830.38 is: 54,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,661.68 : 98,892.68 = 39,830.38 : x
  2. Step 2: Convert to fraction form
    71,661.68/98,892.68 = 39,830.38/x
  3. Step 3: Cross multiply
    71,661.68x = 98,892.68 × 39,830.38
  4. Step 4: Simplify right side
    71,661.68x = 3,938,933,023.62
  5. Step 5: Solve for x
    x = 3,938,933,023.62/71,661.68
  6. Step 6: Final answer
    x = 54,965.68

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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.