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Finding the Fourth Proportional to 80,171.50, 120,275.96 and 23,246.60

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Solution

The fourth proportional to 80,171.50, 120,275.96 and 23,246.60 is: 34,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,171.50 : 120,275.96 = 23,246.60 : x
  2. Step 2: Convert to fraction form
    80,171.50/120,275.96 = 23,246.60/x
  3. Step 3: Cross multiply
    80,171.50x = 120,275.96 × 23,246.60
  4. Step 4: Simplify right side
    80,171.50x = 2,796,006,414.12
  5. Step 5: Solve for x
    x = 2,796,006,414.12/80,171.50
  6. Step 6: Final answer
    x = 34,875.32

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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.