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Finding the Fourth Proportional to 32,780.52, 49,170.39 and 9,406.86

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Solution

The fourth proportional to 32,780.52, 49,170.39 and 9,406.86 is: 14,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780.52 : 49,170.39 = 9,406.86 : x
  2. Step 2: Convert to fraction form
    32,780.52/49,170.39 = 9,406.86/x
  3. Step 3: Cross multiply
    32,780.52x = 49,170.39 × 9,406.86
  4. Step 4: Simplify right side
    32,780.52x = 462,538,974.88
  5. Step 5: Solve for x
    x = 462,538,974.88/32,780.52
  6. Step 6: Final answer
    x = 14,110.18

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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.