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Finding the Fourth Proportional to 32,143.50, 48,217.68 and 9,959.12

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Solution

The fourth proportional to 32,143.50, 48,217.68 and 9,959.12 is: 14,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.50 : 48,217.68 = 9,959.12 : x
  2. Step 2: Convert to fraction form
    32,143.50/48,217.68 = 9,959.12/x
  3. Step 3: Cross multiply
    32,143.50x = 48,217.68 × 9,959.12
  4. Step 4: Simplify right side
    32,143.50x = 480,205,420.15
  5. Step 5: Solve for x
    x = 480,205,420.15/32,143.50
  6. Step 6: Final answer
    x = 14,939.43

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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.