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Finding the Fourth Proportional to 29,932.39, 44,889.01 and 10,213.85

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Solution

The fourth proportional to 29,932.39, 44,889.01 and 10,213.85 is: 15,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,932.39 : 44,889.01 = 10,213.85 : x
  2. Step 2: Convert to fraction form
    29,932.39/44,889.01 = 10,213.85/x
  3. Step 3: Cross multiply
    29,932.39x = 44,889.01 × 10,213.85
  4. Step 4: Simplify right side
    29,932.39x = 458,489,477.70
  5. Step 5: Solve for x
    x = 458,489,477.70/29,932.39
  6. Step 6: Final answer
    x = 15,317.51

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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.