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Finding the Fourth Proportional to 74,352.26, 111,545.94 and 24,432.50

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Solution

The fourth proportional to 74,352.26, 111,545.94 and 24,432.50 is: 36,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,352.26 : 111,545.94 = 24,432.50 : x
  2. Step 2: Convert to fraction form
    74,352.26/111,545.94 = 24,432.50/x
  3. Step 3: Cross multiply
    74,352.26x = 111,545.94 × 24,432.50
  4. Step 4: Simplify right side
    74,352.26x = 2,725,346,179.05
  5. Step 5: Solve for x
    x = 2,725,346,179.05/74,352.26
  6. Step 6: Final answer
    x = 36,654.52

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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.