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Finding the Fourth Proportional to 29,785.65, 44,660.25 and 12,024.48

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Solution

The fourth proportional to 29,785.65, 44,660.25 and 12,024.48 is: 18,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,785.65 : 44,660.25 = 12,024.48 : x
  2. Step 2: Convert to fraction form
    29,785.65/44,660.25 = 12,024.48/x
  3. Step 3: Cross multiply
    29,785.65x = 44,660.25 × 12,024.48
  4. Step 4: Simplify right side
    29,785.65x = 537,016,282.92
  5. Step 5: Solve for x
    x = 537,016,282.92/29,785.65
  6. Step 6: Final answer
    x = 18,029.36

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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.