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Finding the Fourth Proportional to 83,596.38, 125,406.33 and 24,436.50

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Solution

The fourth proportional to 83,596.38, 125,406.33 and 24,436.50 is: 36,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,596.38 : 125,406.33 = 24,436.50 : x
  2. Step 2: Convert to fraction form
    83,596.38/125,406.33 = 24,436.50/x
  3. Step 3: Cross multiply
    83,596.38x = 125,406.33 × 24,436.50
  4. Step 4: Simplify right side
    83,596.38x = 3,064,491,783.05
  5. Step 5: Solve for x
    x = 3,064,491,783.05/83,596.38
  6. Step 6: Final answer
    x = 36,658.19

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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.