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Finding the Fourth Proportional to 32,176.70, 48,251.67 and 12,443.88

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Solution

The fourth proportional to 32,176.70, 48,251.67 and 12,443.88 is: 18,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.70 : 48,251.67 = 12,443.88 : x
  2. Step 2: Convert to fraction form
    32,176.70/48,251.67 = 12,443.88/x
  3. Step 3: Cross multiply
    32,176.70x = 48,251.67 × 12,443.88
  4. Step 4: Simplify right side
    32,176.70x = 600,437,991.28
  5. Step 5: Solve for x
    x = 600,437,991.28/32,176.70
  6. Step 6: Final answer
    x = 18,660.65

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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.