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Finding the Fourth Proportional to 41,614.38, 57,427.84 and 22,751.50

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Solution

The fourth proportional to 41,614.38, 57,427.84 and 22,751.50 is: 31,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,614.38 : 57,427.84 = 22,751.50 : x
  2. Step 2: Convert to fraction form
    41,614.38/57,427.84 = 22,751.50/x
  3. Step 3: Cross multiply
    41,614.38x = 57,427.84 × 22,751.50
  4. Step 4: Simplify right side
    41,614.38x = 1,306,569,501.76
  5. Step 5: Solve for x
    x = 1,306,569,501.76/41,614.38
  6. Step 6: Final answer
    x = 31,397.07

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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.