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Finding the Fourth Proportional to 32,912.20, 49,375.98 and 9,539.08

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Solution

The fourth proportional to 32,912.20, 49,375.98 and 9,539.08 is: 14,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,912.20 : 49,375.98 = 9,539.08 : x
  2. Step 2: Convert to fraction form
    32,912.20/49,375.98 = 9,539.08/x
  3. Step 3: Cross multiply
    32,912.20x = 49,375.98 × 9,539.08
  4. Step 4: Simplify right side
    32,912.20x = 471,001,423.30
  5. Step 5: Solve for x
    x = 471,001,423.30/32,912.20
  6. Step 6: Final answer
    x = 14,310.85

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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.