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Finding the Fourth Proportional to 83,049.68, 114,606.96 and 45,324.20

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Solution

The fourth proportional to 83,049.68, 114,606.96 and 45,324.20 is: 62,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,049.68 : 114,606.96 = 45,324.20 : x
  2. Step 2: Convert to fraction form
    83,049.68/114,606.96 = 45,324.20/x
  3. Step 3: Cross multiply
    83,049.68x = 114,606.96 × 45,324.20
  4. Step 4: Simplify right side
    83,049.68x = 5,194,468,776.43
  5. Step 5: Solve for x
    x = 5,194,468,776.43/83,049.68
  6. Step 6: Final answer
    x = 62,546.52

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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.