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Finding the Fourth Proportional to 41,886.72, 57,814.56 and 27,734.40

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Solution

The fourth proportional to 41,886.72, 57,814.56 and 27,734.40 is: 38,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,886.72 : 57,814.56 = 27,734.40 : x
  2. Step 2: Convert to fraction form
    41,886.72/57,814.56 = 27,734.40/x
  3. Step 3: Cross multiply
    41,886.72x = 57,814.56 × 27,734.40
  4. Step 4: Simplify right side
    41,886.72x = 1,603,452,132.86
  5. Step 5: Solve for x
    x = 1,603,452,132.86/41,886.72
  6. Step 6: Final answer
    x = 38,280.68

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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.