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Finding the Fourth Proportional to 48,920.16, 67,508.52 and 27,701.44

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Solution

The fourth proportional to 48,920.16, 67,508.52 and 27,701.44 is: 38,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,920.16 : 67,508.52 = 27,701.44 : x
  2. Step 2: Convert to fraction form
    48,920.16/67,508.52 = 27,701.44/x
  3. Step 3: Cross multiply
    48,920.16x = 67,508.52 × 27,701.44
  4. Step 4: Simplify right side
    48,920.16x = 1,870,083,216.27
  5. Step 5: Solve for x
    x = 1,870,083,216.27/48,920.16
  6. Step 6: Final answer
    x = 38,227.25

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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.