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Finding the Fourth Proportional to 29,785.70, 41,104.08 and 16,357.16

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Solution

The fourth proportional to 29,785.70, 41,104.08 and 16,357.16 is: 22,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,785.70 : 41,104.08 = 16,357.16 : x
  2. Step 2: Convert to fraction form
    29,785.70/41,104.08 = 16,357.16/x
  3. Step 3: Cross multiply
    29,785.70x = 41,104.08 × 16,357.16
  4. Step 4: Simplify right side
    29,785.70x = 672,346,013.21
  5. Step 5: Solve for x
    x = 672,346,013.21/29,785.70
  6. Step 6: Final answer
    x = 22,572.78

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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.