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Finding the Fourth Proportional to 39,352, 54,306.24 and 22,586.56

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Solution

The fourth proportional to 39,352, 54,306.24 and 22,586.56 is: 31,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,352 : 54,306.24 = 22,586.56 : x
  2. Step 2: Convert to fraction form
    39,352/54,306.24 = 22,586.56/x
  3. Step 3: Cross multiply
    39,352x = 54,306.24 × 22,586.56
  4. Step 4: Simplify right side
    39,352x = 1,226,591,148.13
  5. Step 5: Solve for x
    x = 1,226,591,148.13/39,352
  6. Step 6: Final answer
    x = 31,169.73

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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.