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Finding the Fourth Proportional to 48,854.63, 67,419.41 and 27,633.44

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Solution

The fourth proportional to 48,854.63, 67,419.41 and 27,633.44 is: 38,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,854.63 : 67,419.41 = 27,633.44 : x
  2. Step 2: Convert to fraction form
    48,854.63/67,419.41 = 27,633.44/x
  3. Step 3: Cross multiply
    48,854.63x = 67,419.41 × 27,633.44
  4. Step 4: Simplify right side
    48,854.63x = 1,863,029,745.81
  5. Step 5: Solve for x
    x = 1,863,029,745.81/48,854.63
  6. Step 6: Final answer
    x = 38,134.15

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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.