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Finding the Fourth Proportional to 49,062.81, 67,706.55 and 27,549.41

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Solution

The fourth proportional to 49,062.81, 67,706.55 and 27,549.41 is: 38,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,062.81 : 67,706.55 = 27,549.41 : x
  2. Step 2: Convert to fraction form
    49,062.81/67,706.55 = 27,549.41/x
  3. Step 3: Cross multiply
    49,062.81x = 67,706.55 × 27,549.41
  4. Step 4: Simplify right side
    49,062.81x = 1,865,275,167.10
  5. Step 5: Solve for x
    x = 1,865,275,167.10/49,062.81
  6. Step 6: Final answer
    x = 38,018.11

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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.