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Finding the Fourth Proportional to 32,939.72, 49,403.97 and 9,241.82

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Solution

The fourth proportional to 32,939.72, 49,403.97 and 9,241.82 is: 13,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,939.72 : 49,403.97 = 9,241.82 : x
  2. Step 2: Convert to fraction form
    32,939.72/49,403.97 = 9,241.82/x
  3. Step 3: Cross multiply
    32,939.72x = 49,403.97 × 9,241.82
  4. Step 4: Simplify right side
    32,939.72x = 456,582,351.01
  5. Step 5: Solve for x
    x = 456,582,351.01/32,939.72
  6. Step 6: Final answer
    x = 13,861.15

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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.