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Finding the Fourth Proportional to 83,057.20, 114,614.40 and 45,330.64

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Solution

The fourth proportional to 83,057.20, 114,614.40 and 45,330.64 is: 62,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,057.20 : 114,614.40 = 45,330.64 : x
  2. Step 2: Convert to fraction form
    83,057.20/114,614.40 = 45,330.64/x
  3. Step 3: Cross multiply
    83,057.20x = 114,614.40 × 45,330.64
  4. Step 4: Simplify right side
    83,057.20x = 5,195,544,105.22
  5. Step 5: Solve for x
    x = 5,195,544,105.22/83,057.20
  6. Step 6: Final answer
    x = 62,553.81

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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.