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Finding the Fourth Proportional to 32,481.86, 48,724.54 and 10,296.97

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Solution

The fourth proportional to 32,481.86, 48,724.54 and 10,296.97 is: 15,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481.86 : 48,724.54 = 10,296.97 : x
  2. Step 2: Convert to fraction form
    32,481.86/48,724.54 = 10,296.97/x
  3. Step 3: Cross multiply
    32,481.86x = 48,724.54 × 10,296.97
  4. Step 4: Simplify right side
    32,481.86x = 501,715,126.64
  5. Step 5: Solve for x
    x = 501,715,126.64/32,481.86
  6. Step 6: Final answer
    x = 15,446.01

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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.