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Finding the Fourth Proportional to 83,596.80, 125,298.60 and 38,523.96

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Solution

The fourth proportional to 83,596.80, 125,298.60 and 38,523.96 is: 57,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,596.80 : 125,298.60 = 38,523.96 : x
  2. Step 2: Convert to fraction form
    83,596.80/125,298.60 = 38,523.96/x
  3. Step 3: Cross multiply
    83,596.80x = 125,298.60 × 38,523.96
  4. Step 4: Simplify right side
    83,596.80x = 4,826,998,254.46
  5. Step 5: Solve for x
    x = 4,826,998,254.46/83,596.80
  6. Step 6: Final answer
    x = 57,741.42

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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.