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Finding the Fourth Proportional to 41,712.38, 57,562.88 and 22,849.50

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Solution

The fourth proportional to 41,712.38, 57,562.88 and 22,849.50 is: 31,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,712.38 : 57,562.88 = 22,849.50 : x
  2. Step 2: Convert to fraction form
    41,712.38/57,562.88 = 22,849.50/x
  3. Step 3: Cross multiply
    41,712.38x = 57,562.88 × 22,849.50
  4. Step 4: Simplify right side
    41,712.38x = 1,315,283,026.56
  5. Step 5: Solve for x
    x = 1,315,283,026.56/41,712.38
  6. Step 6: Final answer
    x = 31,532.20

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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.