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Finding the Fourth Proportional to 29,153.97, 43,729.52 and 9,432.09

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Solution

The fourth proportional to 29,153.97, 43,729.52 and 9,432.09 is: 14,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,153.97 : 43,729.52 = 9,432.09 : x
  2. Step 2: Convert to fraction form
    29,153.97/43,729.52 = 9,432.09/x
  3. Step 3: Cross multiply
    29,153.97x = 43,729.52 × 9,432.09
  4. Step 4: Simplify right side
    29,153.97x = 412,460,721.14
  5. Step 5: Solve for x
    x = 412,460,721.14/29,153.97
  6. Step 6: Final answer
    x = 14,147.67

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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.