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Finding the Fourth Proportional to 49,169.11, 67,853.22 and 27,952.46

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Solution

The fourth proportional to 49,169.11, 67,853.22 and 27,952.46 is: 38,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,169.11 : 67,853.22 = 27,952.46 : x
  2. Step 2: Convert to fraction form
    49,169.11/67,853.22 = 27,952.46/x
  3. Step 3: Cross multiply
    49,169.11x = 67,853.22 × 27,952.46
  4. Step 4: Simplify right side
    49,169.11x = 1,896,664,417.92
  5. Step 5: Solve for x
    x = 1,896,664,417.92/49,169.11
  6. Step 6: Final answer
    x = 38,574.31

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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.