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Finding the Fourth Proportional to 72,234.34, 108,324.57 and 24,836.02

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Solution

The fourth proportional to 72,234.34, 108,324.57 and 24,836.02 is: 37,244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,234.34 : 108,324.57 = 24,836.02 : x
  2. Step 2: Convert to fraction form
    72,234.34/108,324.57 = 24,836.02/x
  3. Step 3: Cross multiply
    72,234.34x = 108,324.57 × 24,836.02
  4. Step 4: Simplify right side
    72,234.34x = 2,690,351,062.83
  5. Step 5: Solve for x
    x = 2,690,351,062.83/72,234.34
  6. Step 6: Final answer
    x = 37,244.77

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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.