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Finding the Fourth Proportional to 33,901.74, 46,767.78 and 29,419.20

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Solution

The fourth proportional to 33,901.74, 46,767.78 and 29,419.20 is: 40,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,901.74 : 46,767.78 = 29,419.20 : x
  2. Step 2: Convert to fraction form
    33,901.74/46,767.78 = 29,419.20/x
  3. Step 3: Cross multiply
    33,901.74x = 46,767.78 × 29,419.20
  4. Step 4: Simplify right side
    33,901.74x = 1,375,870,673.38
  5. Step 5: Solve for x
    x = 1,375,870,673.38/33,901.74
  6. Step 6: Final answer
    x = 40,584.07

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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.