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Finding the Fourth Proportional to 32,013.01, 48,019.50 and 8,639.44

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Solution

The fourth proportional to 32,013.01, 48,019.50 and 8,639.44 is: 12,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.01 : 48,019.50 = 8,639.44 : x
  2. Step 2: Convert to fraction form
    32,013.01/48,019.50 = 8,639.44/x
  3. Step 3: Cross multiply
    32,013.01x = 48,019.50 × 8,639.44
  4. Step 4: Simplify right side
    32,013.01x = 414,861,589.08
  5. Step 5: Solve for x
    x = 414,861,589.08/32,013.01
  6. Step 6: Final answer
    x = 12,959.16

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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.