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Finding the Fourth Proportional to 75,138.92, 103,690.34 and 41,146.78

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Solution

The fourth proportional to 75,138.92, 103,690.34 and 41,146.78 is: 56,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138.92 : 103,690.34 = 41,146.78 : x
  2. Step 2: Convert to fraction form
    75,138.92/103,690.34 = 41,146.78/x
  3. Step 3: Cross multiply
    75,138.92x = 103,690.34 × 41,146.78
  4. Step 4: Simplify right side
    75,138.92x = 4,266,523,608.11
  5. Step 5: Solve for x
    x = 4,266,523,608.11/75,138.92
  6. Step 6: Final answer
    x = 56,781.81

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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.