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Finding the Fourth Proportional to 41,454.88, 57,207.74 and 22,592

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Solution

The fourth proportional to 41,454.88, 57,207.74 and 22,592 is: 31,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,454.88 : 57,207.74 = 22,592 : x
  2. Step 2: Convert to fraction form
    41,454.88/57,207.74 = 22,592/x
  3. Step 3: Cross multiply
    41,454.88x = 57,207.74 × 22,592
  4. Step 4: Simplify right side
    41,454.88x = 1,292,437,262.08
  5. Step 5: Solve for x
    x = 1,292,437,262.08/41,454.88
  6. Step 6: Final answer
    x = 31,176.96

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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.