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Finding the Fourth Proportional to 84,117.62, 126,139.50 and 31,490.20

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Solution

The fourth proportional to 84,117.62, 126,139.50 and 31,490.20 is: 47,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,117.62 : 126,139.50 = 31,490.20 : x
  2. Step 2: Convert to fraction form
    84,117.62/126,139.50 = 31,490.20/x
  3. Step 3: Cross multiply
    84,117.62x = 126,139.50 × 31,490.20
  4. Step 4: Simplify right side
    84,117.62x = 3,972,158,082.90
  5. Step 5: Solve for x
    x = 3,972,158,082.90/84,117.62
  6. Step 6: Final answer
    x = 47,221.47

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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.