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Finding the Fourth Proportional to 99,322.62, 148,982.67 and 24,443.70

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Solution

The fourth proportional to 99,322.62, 148,982.67 and 24,443.70 is: 36,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,322.62 : 148,982.67 = 24,443.70 : x
  2. Step 2: Convert to fraction form
    99,322.62/148,982.67 = 24,443.70/x
  3. Step 3: Cross multiply
    99,322.62x = 148,982.67 × 24,443.70
  4. Step 4: Simplify right side
    99,322.62x = 3,641,687,690.68
  5. Step 5: Solve for x
    x = 3,641,687,690.68/99,322.62
  6. Step 6: Final answer
    x = 36,665.24

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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.