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Finding the Fourth Proportional to 29,685.96, 44,531.28 and 9,964.44

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Solution

The fourth proportional to 29,685.96, 44,531.28 and 9,964.44 is: 14,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.96 : 44,531.28 = 9,964.44 : x
  2. Step 2: Convert to fraction form
    29,685.96/44,531.28 = 9,964.44/x
  3. Step 3: Cross multiply
    29,685.96x = 44,531.28 × 9,964.44
  4. Step 4: Simplify right side
    29,685.96x = 443,729,267.68
  5. Step 5: Solve for x
    x = 443,729,267.68/29,685.96
  6. Step 6: Final answer
    x = 14,947.45

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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.