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Finding the Fourth Proportional to 48,619, 67,092.54 and 27,397

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Solution

The fourth proportional to 48,619, 67,092.54 and 27,397 is: 37,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,619 : 67,092.54 = 27,397 : x
  2. Step 2: Convert to fraction form
    48,619/67,092.54 = 27,397/x
  3. Step 3: Cross multiply
    48,619x = 67,092.54 × 27,397
  4. Step 4: Simplify right side
    48,619x = 1,838,134,318.38
  5. Step 5: Solve for x
    x = 1,838,134,318.38/48,619
  6. Step 6: Final answer
    x = 37,806.91

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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.