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Finding the Fourth Proportional to 32,144.50, 48,219.18 and 9,960.12

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Solution

The fourth proportional to 32,144.50, 48,219.18 and 9,960.12 is: 14,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.50 : 48,219.18 = 9,960.12 : x
  2. Step 2: Convert to fraction form
    32,144.50/48,219.18 = 9,960.12/x
  3. Step 3: Cross multiply
    32,144.50x = 48,219.18 × 9,960.12
  4. Step 4: Simplify right side
    32,144.50x = 480,268,819.10
  5. Step 5: Solve for x
    x = 480,268,819.10/32,144.50
  6. Step 6: Final answer
    x = 14,940.93

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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.