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Finding the Fourth Proportional to 29,734.44, 44,606 and 10,006.28

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Solution

The fourth proportional to 29,734.44, 44,606 and 10,006.28 is: 15,010.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734.44 : 44,606 = 10,006.28 : x
  2. Step 2: Convert to fraction form
    29,734.44/44,606 = 10,006.28/x
  3. Step 3: Cross multiply
    29,734.44x = 44,606 × 10,006.28
  4. Step 4: Simplify right side
    29,734.44x = 446,340,125.68
  5. Step 5: Solve for x
    x = 446,340,125.68/29,734.44
  6. Step 6: Final answer
    x = 15,010.88

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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.