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Finding the Fourth Proportional to 83,340.75, 115,010.24 and 45,615

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Solution

The fourth proportional to 83,340.75, 115,010.24 and 45,615 is: 62,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,340.75 : 115,010.24 = 45,615 : x
  2. Step 2: Convert to fraction form
    83,340.75/115,010.24 = 45,615/x
  3. Step 3: Cross multiply
    83,340.75x = 115,010.24 × 45,615
  4. Step 4: Simplify right side
    83,340.75x = 5,246,191,869.53
  5. Step 5: Solve for x
    x = 5,246,191,869.53/83,340.75
  6. Step 6: Final answer
    x = 62,948.70

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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.