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Finding the Fourth Proportional to 32,359.50, 48,550.85 and 12,652.20

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Solution

The fourth proportional to 32,359.50, 48,550.85 and 12,652.20 is: 18,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,359.50 : 48,550.85 = 12,652.20 : x
  2. Step 2: Convert to fraction form
    32,359.50/48,550.85 = 12,652.20/x
  3. Step 3: Cross multiply
    32,359.50x = 48,550.85 × 12,652.20
  4. Step 4: Simplify right side
    32,359.50x = 614,275,001.11
  5. Step 5: Solve for x
    x = 614,275,001.11/32,359.50
  6. Step 6: Final answer
    x = 18,982.83

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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.