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Finding the Fourth Proportional to 71,753.84, 107,631 and 24,974

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Solution

The fourth proportional to 71,753.84, 107,631 and 24,974 is: 37,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,753.84 : 107,631 = 24,974 : x
  2. Step 2: Convert to fraction form
    71,753.84/107,631 = 24,974/x
  3. Step 3: Cross multiply
    71,753.84x = 107,631 × 24,974
  4. Step 4: Simplify right side
    71,753.84x = 2,687,976,594
  5. Step 5: Solve for x
    x = 2,687,976,594/71,753.84
  6. Step 6: Final answer
    x = 37,461.08

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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.