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Finding the Fourth Proportional to 57,853.30, 86,793.30 and 24,574.44

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Solution

The fourth proportional to 57,853.30, 86,793.30 and 24,574.44 is: 36,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,853.30 : 86,793.30 = 24,574.44 : x
  2. Step 2: Convert to fraction form
    57,853.30/86,793.30 = 24,574.44/x
  3. Step 3: Cross multiply
    57,853.30x = 86,793.30 × 24,574.44
  4. Step 4: Simplify right side
    57,853.30x = 2,132,896,743.25
  5. Step 5: Solve for x
    x = 2,132,896,743.25/57,853.30
  6. Step 6: Final answer
    x = 36,867.33

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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.