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Finding the Fourth Proportional to 95,797.12, 132,191.56 and 55,498

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Solution

The fourth proportional to 95,797.12, 132,191.56 and 55,498 is: 76,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,797.12 : 132,191.56 = 55,498 : x
  2. Step 2: Convert to fraction form
    95,797.12/132,191.56 = 55,498/x
  3. Step 3: Cross multiply
    95,797.12x = 132,191.56 × 55,498
  4. Step 4: Simplify right side
    95,797.12x = 7,336,367,196.88
  5. Step 5: Solve for x
    x = 7,336,367,196.88/95,797.12
  6. Step 6: Final answer
    x = 76,582.34

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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.