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Finding the Fourth Proportional to 41,290.69, 56,949.42 and 27,840.64

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Solution

The fourth proportional to 41,290.69, 56,949.42 and 27,840.64 is: 38,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,290.69 : 56,949.42 = 27,840.64 : x
  2. Step 2: Convert to fraction form
    41,290.69/56,949.42 = 27,840.64/x
  3. Step 3: Cross multiply
    41,290.69x = 56,949.42 × 27,840.64
  4. Step 4: Simplify right side
    41,290.69x = 1,585,508,300.43
  5. Step 5: Solve for x
    x = 1,585,508,300.43/41,290.69
  6. Step 6: Final answer
    x = 38,398.69

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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.