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Finding the Fourth Proportional to 87,949, 131,923.50 and 38,701

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Solution

The fourth proportional to 87,949, 131,923.50 and 38,701 is: 58,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,949 : 131,923.50 = 38,701 : x
  2. Step 2: Convert to fraction form
    87,949/131,923.50 = 38,701/x
  3. Step 3: Cross multiply
    87,949x = 131,923.50 × 38,701
  4. Step 4: Simplify right side
    87,949x = 5,105,571,373.50
  5. Step 5: Solve for x
    x = 5,105,571,373.50/87,949
  6. Step 6: Final answer
    x = 58,051.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.