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Finding the Fourth Proportional to 32,680.89, 49,016.07 and 9,301.86

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Solution

The fourth proportional to 32,680.89, 49,016.07 and 9,301.86 is: 13,951.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,680.89 : 49,016.07 = 9,301.86 : x
  2. Step 2: Convert to fraction form
    32,680.89/49,016.07 = 9,301.86/x
  3. Step 3: Cross multiply
    32,680.89x = 49,016.07 × 9,301.86
  4. Step 4: Simplify right side
    32,680.89x = 455,940,620.89
  5. Step 5: Solve for x
    x = 455,940,620.89/32,680.89
  6. Step 6: Final answer
    x = 13,951.29

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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.