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Finding the Fourth Proportional to 71,135.02, 106,755.14 and 33,695.17

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Solution

The fourth proportional to 71,135.02, 106,755.14 and 33,695.17 is: 50,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,135.02 : 106,755.14 = 33,695.17 : x
  2. Step 2: Convert to fraction form
    71,135.02/106,755.14 = 33,695.17/x
  3. Step 3: Cross multiply
    71,135.02x = 106,755.14 × 33,695.17
  4. Step 4: Simplify right side
    71,135.02x = 3,597,132,590.67
  5. Step 5: Solve for x
    x = 3,597,132,590.67/71,135.02
  6. Step 6: Final answer
    x = 50,567.68

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