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Finding the Fourth Proportional to 29,660.19, 44,506.68 and 12,142.32

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Solution

The fourth proportional to 29,660.19, 44,506.68 and 12,142.32 is: 18,220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,660.19 : 44,506.68 = 12,142.32 : x
  2. Step 2: Convert to fraction form
    29,660.19/44,506.68 = 12,142.32/x
  3. Step 3: Cross multiply
    29,660.19x = 44,506.68 × 12,142.32
  4. Step 4: Simplify right side
    29,660.19x = 540,414,350.70
  5. Step 5: Solve for x
    x = 540,414,350.70/29,660.19
  6. Step 6: Final answer
    x = 18,220.19

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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.