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Finding the Fourth Proportional to 41,408, 62,097.62 and 38,750.80

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Solution

The fourth proportional to 41,408, 62,097.62 and 38,750.80 is: 58,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,408 : 62,097.62 = 38,750.80 : x
  2. Step 2: Convert to fraction form
    41,408/62,097.62 = 38,750.80/x
  3. Step 3: Cross multiply
    41,408x = 62,097.62 × 38,750.80
  4. Step 4: Simplify right side
    41,408x = 2,406,332,453.10
  5. Step 5: Solve for x
    x = 2,406,332,453.10/41,408
  6. Step 6: Final answer
    x = 58,112.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.