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Finding the Fourth Proportional to 41,862.74, 57,785.74 and 27,720.14

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Solution

The fourth proportional to 41,862.74, 57,785.74 and 27,720.14 is: 38,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,862.74 : 57,785.74 = 27,720.14 : x
  2. Step 2: Convert to fraction form
    41,862.74/57,785.74 = 27,720.14/x
  3. Step 3: Cross multiply
    41,862.74x = 57,785.74 × 27,720.14
  4. Step 4: Simplify right side
    41,862.74x = 1,601,828,444.57
  5. Step 5: Solve for x
    x = 1,601,828,444.57/41,862.74
  6. Step 6: Final answer
    x = 38,263.83

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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.