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Finding the Fourth Proportional to 75,314.14, 103,930 and 41,321.86

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Solution

The fourth proportional to 75,314.14, 103,930 and 41,321.86 is: 57,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.14 : 103,930 = 41,321.86 : x
  2. Step 2: Convert to fraction form
    75,314.14/103,930 = 41,321.86/x
  3. Step 3: Cross multiply
    75,314.14x = 103,930 × 41,321.86
  4. Step 4: Simplify right side
    75,314.14x = 4,294,580,909.80
  5. Step 5: Solve for x
    x = 4,294,580,909.80/75,314.14
  6. Step 6: Final answer
    x = 57,022.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.