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Finding the Fourth Proportional to 65,713.67, 90,672.17 and 40,225.80

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Solution

The fourth proportional to 65,713.67, 90,672.17 and 40,225.80 is: 55,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.67 : 90,672.17 = 40,225.80 : x
  2. Step 2: Convert to fraction form
    65,713.67/90,672.17 = 40,225.80/x
  3. Step 3: Cross multiply
    65,713.67x = 90,672.17 × 40,225.80
  4. Step 4: Simplify right side
    65,713.67x = 3,647,360,374.86
  5. Step 5: Solve for x
    x = 3,647,360,374.86/65,713.67
  6. Step 6: Final answer
    x = 55,503.83

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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.