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Finding the Fourth Proportional to 69,876.28, 104,824.88 and 32,440.20

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Solution

The fourth proportional to 69,876.28, 104,824.88 and 32,440.20 is: 48,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,876.28 : 104,824.88 = 32,440.20 : x
  2. Step 2: Convert to fraction form
    69,876.28/104,824.88 = 32,440.20/x
  3. Step 3: Cross multiply
    69,876.28x = 104,824.88 × 32,440.20
  4. Step 4: Simplify right side
    69,876.28x = 3,400,540,072.18
  5. Step 5: Solve for x
    x = 3,400,540,072.18/69,876.28
  6. Step 6: Final answer
    x = 48,665.16

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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.