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Finding the Fourth Proportional to 29,785.52, 41,105.07 and 16,357.14

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Solution

The fourth proportional to 29,785.52, 41,105.07 and 16,357.14 is: 22,573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,785.52 : 41,105.07 = 16,357.14 : x
  2. Step 2: Convert to fraction form
    29,785.52/41,105.07 = 16,357.14/x
  3. Step 3: Cross multiply
    29,785.52x = 41,105.07 × 16,357.14
  4. Step 4: Simplify right side
    29,785.52x = 672,361,384.70
  5. Step 5: Solve for x
    x = 672,361,384.70/29,785.52
  6. Step 6: Final answer
    x = 22,573.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.