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Finding the Fourth Proportional to 73,034.46, 100,787.85 and 39,500.46

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Solution

The fourth proportional to 73,034.46, 100,787.85 and 39,500.46 is: 54,510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,034.46 : 100,787.85 = 39,500.46 : x
  2. Step 2: Convert to fraction form
    73,034.46/100,787.85 = 39,500.46/x
  3. Step 3: Cross multiply
    73,034.46x = 100,787.85 × 39,500.46
  4. Step 4: Simplify right side
    73,034.46x = 3,981,166,437.41
  5. Step 5: Solve for x
    x = 3,981,166,437.41/73,034.46
  6. Step 6: Final answer
    x = 54,510.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.