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Finding the Fourth Proportional to 29,744.97, 44,616.17 and 10,023.45

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Solution

The fourth proportional to 29,744.97, 44,616.17 and 10,023.45 is: 15,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,744.97 : 44,616.17 = 10,023.45 : x
  2. Step 2: Convert to fraction form
    29,744.97/44,616.17 = 10,023.45/x
  3. Step 3: Cross multiply
    29,744.97x = 44,616.17 × 10,023.45
  4. Step 4: Simplify right side
    29,744.97x = 447,207,949.19
  5. Step 5: Solve for x
    x = 447,207,949.19/29,744.97
  6. Step 6: Final answer
    x = 15,034.74

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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.