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Finding the Fourth Proportional to 32,863.62, 49,296.15 and 10,677

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Solution

The fourth proportional to 32,863.62, 49,296.15 and 10,677 is: 16,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863.62 : 49,296.15 = 10,677 : x
  2. Step 2: Convert to fraction form
    32,863.62/49,296.15 = 10,677/x
  3. Step 3: Cross multiply
    32,863.62x = 49,296.15 × 10,677
  4. Step 4: Simplify right side
    32,863.62x = 526,334,993.55
  5. Step 5: Solve for x
    x = 526,334,993.55/32,863.62
  6. Step 6: Final answer
    x = 16,015.73

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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.