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Finding the Fourth Proportional to 50,912.96, 70,254.24 and 28,251.20

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Solution

The fourth proportional to 50,912.96, 70,254.24 and 28,251.20 is: 38,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,912.96 : 70,254.24 = 28,251.20 : x
  2. Step 2: Convert to fraction form
    50,912.96/70,254.24 = 28,251.20/x
  3. Step 3: Cross multiply
    50,912.96x = 70,254.24 × 28,251.20
  4. Step 4: Simplify right side
    50,912.96x = 1,984,766,585.09
  5. Step 5: Solve for x
    x = 1,984,766,585.09/50,912.96
  6. Step 6: Final answer
    x = 38,983.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.