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Finding the Fourth Proportional to 74,205.92, 111,304.56 and 24,318.56

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Solution

The fourth proportional to 74,205.92, 111,304.56 and 24,318.56 is: 36,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,205.92 : 111,304.56 = 24,318.56 : x
  2. Step 2: Convert to fraction form
    74,205.92/111,304.56 = 24,318.56/x
  3. Step 3: Cross multiply
    74,205.92x = 111,304.56 × 24,318.56
  4. Step 4: Simplify right side
    74,205.92x = 2,706,766,620.63
  5. Step 5: Solve for x
    x = 2,706,766,620.63/74,205.92
  6. Step 6: Final answer
    x = 36,476.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.