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Finding the Fourth Proportional to 48,921.16, 67,509.90 and 27,702.44

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Solution

The fourth proportional to 48,921.16, 67,509.90 and 27,702.44 is: 38,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,921.16 : 67,509.90 = 27,702.44 : x
  2. Step 2: Convert to fraction form
    48,921.16/67,509.90 = 27,702.44/x
  3. Step 3: Cross multiply
    48,921.16x = 67,509.90 × 27,702.44
  4. Step 4: Simplify right side
    48,921.16x = 1,870,188,954.16
  5. Step 5: Solve for x
    x = 1,870,188,954.16/48,921.16
  6. Step 6: Final answer
    x = 38,228.63

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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.