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Finding the Fourth Proportional to 48,854.34, 67,422.24 and 27,633.60

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Solution

The fourth proportional to 48,854.34, 67,422.24 and 27,633.60 is: 38,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,854.34 : 67,422.24 = 27,633.60 : x
  2. Step 2: Convert to fraction form
    48,854.34/67,422.24 = 27,633.60/x
  3. Step 3: Cross multiply
    48,854.34x = 67,422.24 × 27,633.60
  4. Step 4: Simplify right side
    48,854.34x = 1,863,119,211.26
  5. Step 5: Solve for x
    x = 1,863,119,211.26/48,854.34
  6. Step 6: Final answer
    x = 38,136.21

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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.