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Finding the Fourth Proportional to 48,640.52, 67,122 and 27,424.28

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Solution

The fourth proportional to 48,640.52, 67,122 and 27,424.28 is: 37,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,640.52 : 67,122 = 27,424.28 : x
  2. Step 2: Convert to fraction form
    48,640.52/67,122 = 27,424.28/x
  3. Step 3: Cross multiply
    48,640.52x = 67,122 × 27,424.28
  4. Step 4: Simplify right side
    48,640.52x = 1,840,772,522.16
  5. Step 5: Solve for x
    x = 1,840,772,522.16/48,640.52
  6. Step 6: Final answer
    x = 37,844.43

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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.