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Finding the Fourth Proportional to 49,902, 68,864.76 and 27,546

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Solution

The fourth proportional to 49,902, 68,864.76 and 27,546 is: 38,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902 : 68,864.76 = 27,546 : x
  2. Step 2: Convert to fraction form
    49,902/68,864.76 = 27,546/x
  3. Step 3: Cross multiply
    49,902x = 68,864.76 × 27,546
  4. Step 4: Simplify right side
    49,902x = 1,896,948,678.96
  5. Step 5: Solve for x
    x = 1,896,948,678.96/49,902
  6. Step 6: Final answer
    x = 38,013.48

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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.