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Finding the Fourth Proportional to 74,351.76, 111,545.19 and 24,432

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Solution

The fourth proportional to 74,351.76, 111,545.19 and 24,432 is: 36,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,351.76 : 111,545.19 = 24,432 : x
  2. Step 2: Convert to fraction form
    74,351.76/111,545.19 = 24,432/x
  3. Step 3: Cross multiply
    74,351.76x = 111,545.19 × 24,432
  4. Step 4: Simplify right side
    74,351.76x = 2,725,272,082.08
  5. Step 5: Solve for x
    x = 2,725,272,082.08/74,351.76
  6. Step 6: Final answer
    x = 36,653.77

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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.