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Finding the Fourth Proportional to 32,115.69, 48,173.94 and 11,324.61

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Solution

The fourth proportional to 32,115.69, 48,173.94 and 11,324.61 is: 16,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.69 : 48,173.94 = 11,324.61 : x
  2. Step 2: Convert to fraction form
    32,115.69/48,173.94 = 11,324.61/x
  3. Step 3: Cross multiply
    32,115.69x = 48,173.94 × 11,324.61
  4. Step 4: Simplify right side
    32,115.69x = 545,551,082.66
  5. Step 5: Solve for x
    x = 545,551,082.66/32,115.69
  6. Step 6: Final answer
    x = 16,987.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.