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Finding the Fourth Proportional to 71,814, 107,722.92 and 24,429

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Solution

The fourth proportional to 71,814, 107,722.92 and 24,429 is: 36,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,814 : 107,722.92 = 24,429 : x
  2. Step 2: Convert to fraction form
    71,814/107,722.92 = 24,429/x
  3. Step 3: Cross multiply
    71,814x = 107,722.92 × 24,429
  4. Step 4: Simplify right side
    71,814x = 2,631,563,212.68
  5. Step 5: Solve for x
    x = 2,631,563,212.68/71,814
  6. Step 6: Final answer
    x = 36,644.15

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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.