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Finding the Fourth Proportional to 41,785.68, 57,657.12 and 27,633.36

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Solution

The fourth proportional to 41,785.68, 57,657.12 and 27,633.36 is: 38,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,785.68 : 57,657.12 = 27,633.36 : x
  2. Step 2: Convert to fraction form
    41,785.68/57,657.12 = 27,633.36/x
  3. Step 3: Cross multiply
    41,785.68x = 57,657.12 × 27,633.36
  4. Step 4: Simplify right side
    41,785.68x = 1,593,259,953.52
  5. Step 5: Solve for x
    x = 1,593,259,953.52/41,785.68
  6. Step 6: Final answer
    x = 38,129.33

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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.