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Finding the Fourth Proportional to 95,282.80, 131,498.34 and 52,855

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Solution

The fourth proportional to 95,282.80, 131,498.34 and 52,855 is: 72,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,282.80 : 131,498.34 = 52,855 : x
  2. Step 2: Convert to fraction form
    95,282.80/131,498.34 = 52,855/x
  3. Step 3: Cross multiply
    95,282.80x = 131,498.34 × 52,855
  4. Step 4: Simplify right side
    95,282.80x = 6,950,344,760.70
  5. Step 5: Solve for x
    x = 6,950,344,760.70/95,282.80
  6. Step 6: Final answer
    x = 72,944.38

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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.