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Finding the Fourth Proportional to 41,854.86, 57,774.87 and 27,712.26

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Solution

The fourth proportional to 41,854.86, 57,774.87 and 27,712.26 is: 38,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,854.86 : 57,774.87 = 27,712.26 : x
  2. Step 2: Convert to fraction form
    41,854.86/57,774.87 = 27,712.26/x
  3. Step 3: Cross multiply
    41,854.86x = 57,774.87 × 27,712.26
  4. Step 4: Simplify right side
    41,854.86x = 1,601,072,218.91
  5. Step 5: Solve for x
    x = 1,601,072,218.91/41,854.86
  6. Step 6: Final answer
    x = 38,252.96

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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.