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Finding the Fourth Proportional to 49,988, 68,984.16 and 27,632

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Solution

The fourth proportional to 49,988, 68,984.16 and 27,632 is: 38,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,988 : 68,984.16 = 27,632 : x
  2. Step 2: Convert to fraction form
    49,988/68,984.16 = 27,632/x
  3. Step 3: Cross multiply
    49,988x = 68,984.16 × 27,632
  4. Step 4: Simplify right side
    49,988x = 1,906,170,309.12
  5. Step 5: Solve for x
    x = 1,906,170,309.12/49,988
  6. Step 6: Final answer
    x = 38,132.56

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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.