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Finding the Fourth Proportional to 29,786.66, 41,105.64 and 16,358.78

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Solution

The fourth proportional to 29,786.66, 41,105.64 and 16,358.78 is: 22,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,786.66 : 41,105.64 = 16,358.78 : x
  2. Step 2: Convert to fraction form
    29,786.66/41,105.64 = 16,358.78/x
  3. Step 3: Cross multiply
    29,786.66x = 41,105.64 × 16,358.78
  4. Step 4: Simplify right side
    29,786.66x = 672,438,121.52
  5. Step 5: Solve for x
    x = 672,438,121.52/29,786.66
  6. Step 6: Final answer
    x = 22,575.14

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1.5x scale

Why These Related Problems?

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