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Finding the Fourth Proportional to 41,131.25, 61,697.22 and 9,966.50

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Solution

The fourth proportional to 41,131.25, 61,697.22 and 9,966.50 is: 14,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,131.25 : 61,697.22 = 9,966.50 : x
  2. Step 2: Convert to fraction form
    41,131.25/61,697.22 = 9,966.50/x
  3. Step 3: Cross multiply
    41,131.25x = 61,697.22 × 9,966.50
  4. Step 4: Simplify right side
    41,131.25x = 614,905,293.30
  5. Step 5: Solve for x
    x = 614,905,293.30/41,131.25
  6. Step 6: Final answer
    x = 14,949.83

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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.