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Finding the Fourth Proportional to 83,160.20, 114,761.20 and 47,350.24

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Solution

The fourth proportional to 83,160.20, 114,761.20 and 47,350.24 is: 65,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,160.20 : 114,761.20 = 47,350.24 : x
  2. Step 2: Convert to fraction form
    83,160.20/114,761.20 = 47,350.24/x
  3. Step 3: Cross multiply
    83,160.20x = 114,761.20 × 47,350.24
  4. Step 4: Simplify right side
    83,160.20x = 5,433,970,362.69
  5. Step 5: Solve for x
    x = 5,433,970,362.69/83,160.20
  6. Step 6: Final answer
    x = 65,343.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.