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Finding the Fourth Proportional to 83,382.99, 115,067.70 and 45,141.53

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Solution

The fourth proportional to 83,382.99, 115,067.70 and 45,141.53 is: 62,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,382.99 : 115,067.70 = 45,141.53 : x
  2. Step 2: Convert to fraction form
    83,382.99/115,067.70 = 45,141.53/x
  3. Step 3: Cross multiply
    83,382.99x = 115,067.70 × 45,141.53
  4. Step 4: Simplify right side
    83,382.99x = 5,194,332,031.58
  5. Step 5: Solve for x
    x = 5,194,332,031.58/83,382.99
  6. Step 6: Final answer
    x = 62,294.86

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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.