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Finding the Fourth Proportional to 41,314.86, 57,019.14 and 38,781.18

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Solution

The fourth proportional to 41,314.86, 57,019.14 and 38,781.18 is: 53,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,314.86 : 57,019.14 = 38,781.18 : x
  2. Step 2: Convert to fraction form
    41,314.86/57,019.14 = 38,781.18/x
  3. Step 3: Cross multiply
    41,314.86x = 57,019.14 × 38,781.18
  4. Step 4: Simplify right side
    41,314.86x = 2,211,269,531.79
  5. Step 5: Solve for x
    x = 2,211,269,531.79/41,314.86
  6. Step 6: Final answer
    x = 53,522.38

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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.