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Finding the Fourth Proportional to 87,876.80, 131,815.20 and 54,699.20

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Solution

The fourth proportional to 87,876.80, 131,815.20 and 54,699.20 is: 82,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,876.80 : 131,815.20 = 54,699.20 : x
  2. Step 2: Convert to fraction form
    87,876.80/131,815.20 = 54,699.20/x
  3. Step 3: Cross multiply
    87,876.80x = 131,815.20 × 54,699.20
  4. Step 4: Simplify right side
    87,876.80x = 7,210,185,987.84
  5. Step 5: Solve for x
    x = 7,210,185,987.84/87,876.80
  6. Step 6: Final answer
    x = 82,048.80

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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.