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Finding the Fourth Proportional to 29,532.29, 44,299.24 and 9,542.63

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Solution

The fourth proportional to 29,532.29, 44,299.24 and 9,542.63 is: 14,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,532.29 : 44,299.24 = 9,542.63 : x
  2. Step 2: Convert to fraction form
    29,532.29/44,299.24 = 9,542.63/x
  3. Step 3: Cross multiply
    29,532.29x = 44,299.24 × 9,542.63
  4. Step 4: Simplify right side
    29,532.29x = 422,731,343.49
  5. Step 5: Solve for x
    x = 422,731,343.49/29,532.29
  6. Step 6: Final answer
    x = 14,314.21

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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.