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Finding the Fourth Proportional to 48,474.44, 72,711.66 and 13,414.09

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Solution

The fourth proportional to 48,474.44, 72,711.66 and 13,414.09 is: 20,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,474.44 : 72,711.66 = 13,414.09 : x
  2. Step 2: Convert to fraction form
    48,474.44/72,711.66 = 13,414.09/x
  3. Step 3: Cross multiply
    48,474.44x = 72,711.66 × 13,414.09
  4. Step 4: Simplify right side
    48,474.44x = 975,360,751.29
  5. Step 5: Solve for x
    x = 975,360,751.29/48,474.44
  6. Step 6: Final answer
    x = 20,121.14

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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.