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Finding the Fourth Proportional to 80,177.67, 110,646.99 and 51,932.52

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Solution

The fourth proportional to 80,177.67, 110,646.99 and 51,932.52 is: 71,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,177.67 : 110,646.99 = 51,932.52 : x
  2. Step 2: Convert to fraction form
    80,177.67/110,646.99 = 51,932.52/x
  3. Step 3: Cross multiply
    80,177.67x = 110,646.99 × 51,932.52
  4. Step 4: Simplify right side
    80,177.67x = 5,746,177,021.11
  5. Step 5: Solve for x
    x = 5,746,177,021.11/80,177.67
  6. Step 6: Final answer
    x = 71,668.05

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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.