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Finding the Fourth Proportional to 74,097.97, 111,167.76 and 29,755.86

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Solution

The fourth proportional to 74,097.97, 111,167.76 and 29,755.86 is: 44,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,097.97 : 111,167.76 = 29,755.86 : x
  2. Step 2: Convert to fraction form
    74,097.97/111,167.76 = 29,755.86/x
  3. Step 3: Cross multiply
    74,097.97x = 111,167.76 × 29,755.86
  4. Step 4: Simplify right side
    74,097.97x = 3,307,892,414.66
  5. Step 5: Solve for x
    x = 3,307,892,414.66/74,097.97
  6. Step 6: Final answer
    x = 44,642.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.