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Finding the Fourth Proportional to 41,526, 57,306.69 and 24,759

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Solution

The fourth proportional to 41,526, 57,306.69 and 24,759 is: 34,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,526 : 57,306.69 = 24,759 : x
  2. Step 2: Convert to fraction form
    41,526/57,306.69 = 24,759/x
  3. Step 3: Cross multiply
    41,526x = 57,306.69 × 24,759
  4. Step 4: Simplify right side
    41,526x = 1,418,856,337.71
  5. Step 5: Solve for x
    x = 1,418,856,337.71/41,526
  6. Step 6: Final answer
    x = 34,167.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.