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Finding the Fourth Proportional to 80,542.74, 120,833.01 and 24,383.28

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Solution

The fourth proportional to 80,542.74, 120,833.01 and 24,383.28 is: 36,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,542.74 : 120,833.01 = 24,383.28 : x
  2. Step 2: Convert to fraction form
    80,542.74/120,833.01 = 24,383.28/x
  3. Step 3: Cross multiply
    80,542.74x = 120,833.01 × 24,383.28
  4. Step 4: Simplify right side
    80,542.74x = 2,946,305,116.07
  5. Step 5: Solve for x
    x = 2,946,305,116.07/80,542.74
  6. Step 6: Final answer
    x = 36,580.64

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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.