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Finding the Fourth Proportional to 70,957.20, 106,446.72 and 24,199.14

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Solution

The fourth proportional to 70,957.20, 106,446.72 and 24,199.14 is: 36,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,957.20 : 106,446.72 = 24,199.14 : x
  2. Step 2: Convert to fraction form
    70,957.20/106,446.72 = 24,199.14/x
  3. Step 3: Cross multiply
    70,957.20x = 106,446.72 × 24,199.14
  4. Step 4: Simplify right side
    70,957.20x = 2,575,919,079.82
  5. Step 5: Solve for x
    x = 2,575,919,079.82/70,957.20
  6. Step 6: Final answer
    x = 36,302.43

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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.