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Finding the Fourth Proportional to 83,992.80, 125,816.40 and 57,727.20

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Solution

The fourth proportional to 83,992.80, 125,816.40 and 57,727.20 is: 86,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,992.80 : 125,816.40 = 57,727.20 : x
  2. Step 2: Convert to fraction form
    83,992.80/125,816.40 = 57,727.20/x
  3. Step 3: Cross multiply
    83,992.80x = 125,816.40 × 57,727.20
  4. Step 4: Simplify right side
    83,992.80x = 7,263,028,486.08
  5. Step 5: Solve for x
    x = 7,263,028,486.08/83,992.80
  6. Step 6: Final answer
    x = 86,472.04

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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.