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Finding the Fourth Proportional to 41,643.38, 57,468.78 and 22,780.50

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Solution

The fourth proportional to 41,643.38, 57,468.78 and 22,780.50 is: 31,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,643.38 : 57,468.78 = 22,780.50 : x
  2. Step 2: Convert to fraction form
    41,643.38/57,468.78 = 22,780.50/x
  3. Step 3: Cross multiply
    41,643.38x = 57,468.78 × 22,780.50
  4. Step 4: Simplify right side
    41,643.38x = 1,309,167,542.79
  5. Step 5: Solve for x
    x = 1,309,167,542.79/41,643.38
  6. Step 6: Final answer
    x = 31,437.59

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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.