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Finding the Fourth Proportional to 49,170, 67,854.62 and 27,949.26

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Solution

The fourth proportional to 49,170, 67,854.62 and 27,949.26 is: 38,569.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,170 : 67,854.62 = 27,949.26 : x
  2. Step 2: Convert to fraction form
    49,170/67,854.62 = 27,949.26/x
  3. Step 3: Cross multiply
    49,170x = 67,854.62 × 27,949.26
  4. Step 4: Simplify right side
    49,170x = 1,896,486,416.58
  5. Step 5: Solve for x
    x = 1,896,486,416.58/49,170
  6. Step 6: Final answer
    x = 38,569.99

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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.