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Finding the Fourth Proportional to 99,321.62, 148,981.17 and 24,442.70

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Solution

The fourth proportional to 99,321.62, 148,981.17 and 24,442.70 is: 36,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,321.62 : 148,981.17 = 24,442.70 : x
  2. Step 2: Convert to fraction form
    99,321.62/148,981.17 = 24,442.70/x
  3. Step 3: Cross multiply
    99,321.62x = 148,981.17 × 24,442.70
  4. Step 4: Simplify right side
    99,321.62x = 3,641,502,043.96
  5. Step 5: Solve for x
    x = 3,641,502,043.96/99,321.62
  6. Step 6: Final answer
    x = 36,663.74

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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.