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Finding the Fourth Proportional to 32,863.39, 49,296.96 and 10,678.66

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Solution

The fourth proportional to 32,863.39, 49,296.96 and 10,678.66 is: 16,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863.39 : 49,296.96 = 10,678.66 : x
  2. Step 2: Convert to fraction form
    32,863.39/49,296.96 = 10,678.66/x
  3. Step 3: Cross multiply
    32,863.39x = 49,296.96 × 10,678.66
  4. Step 4: Simplify right side
    32,863.39x = 526,425,474.87
  5. Step 5: Solve for x
    x = 526,425,474.87/32,863.39
  6. Step 6: Final answer
    x = 16,018.60

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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.