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Finding the Fourth Proportional to 41,437.80, 57,184.92 and 22,575.24

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Solution

The fourth proportional to 41,437.80, 57,184.92 and 22,575.24 is: 31,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,437.80 : 57,184.92 = 22,575.24 : x
  2. Step 2: Convert to fraction form
    41,437.80/57,184.92 = 22,575.24/x
  3. Step 3: Cross multiply
    41,437.80x = 57,184.92 × 22,575.24
  4. Step 4: Simplify right side
    41,437.80x = 1,290,963,293.38
  5. Step 5: Solve for x
    x = 1,290,963,293.38/41,437.80
  6. Step 6: Final answer
    x = 31,154.24

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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.