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Finding the Fourth Proportional to 41,150.16, 61,733.88 and 13,446

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Solution

The fourth proportional to 41,150.16, 61,733.88 and 13,446 is: 20,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,150.16 : 61,733.88 = 13,446 : x
  2. Step 2: Convert to fraction form
    41,150.16/61,733.88 = 13,446/x
  3. Step 3: Cross multiply
    41,150.16x = 61,733.88 × 13,446
  4. Step 4: Simplify right side
    41,150.16x = 830,073,750.48
  5. Step 5: Solve for x
    x = 830,073,750.48/41,150.16
  6. Step 6: Final answer
    x = 20,171.82

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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.