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Finding the Fourth Proportional to 41,386.41, 57,098.43 and 27,777.78

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Solution

The fourth proportional to 41,386.41, 57,098.43 and 27,777.78 is: 38,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,386.41 : 57,098.43 = 27,777.78 : x
  2. Step 2: Convert to fraction form
    41,386.41/57,098.43 = 27,777.78/x
  3. Step 3: Cross multiply
    41,386.41x = 57,098.43 × 27,777.78
  4. Step 4: Simplify right side
    41,386.41x = 1,586,067,626.89
  5. Step 5: Solve for x
    x = 1,586,067,626.89/41,386.41
  6. Step 6: Final answer
    x = 38,323.39

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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.