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Finding the Fourth Proportional to 72,174.28, 108,275.10 and 32,734.50

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Solution

The fourth proportional to 72,174.28, 108,275.10 and 32,734.50 is: 49,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,174.28 : 108,275.10 = 32,734.50 : x
  2. Step 2: Convert to fraction form
    72,174.28/108,275.10 = 32,734.50/x
  3. Step 3: Cross multiply
    72,174.28x = 108,275.10 × 32,734.50
  4. Step 4: Simplify right side
    72,174.28x = 3,544,331,260.95
  5. Step 5: Solve for x
    x = 3,544,331,260.95/72,174.28
  6. Step 6: Final answer
    x = 49,107.95

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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.