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Finding the Fourth Proportional to 50,889.50, 70,227.54 and 28,227.74

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Solution

The fourth proportional to 50,889.50, 70,227.54 and 28,227.74 is: 38,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,889.50 : 70,227.54 = 28,227.74 : x
  2. Step 2: Convert to fraction form
    50,889.50/70,227.54 = 28,227.74/x
  3. Step 3: Cross multiply
    50,889.50x = 70,227.54 × 28,227.74
  4. Step 4: Simplify right side
    50,889.50x = 1,982,364,739.96
  5. Step 5: Solve for x
    x = 1,982,364,739.96/50,889.50
  6. Step 6: Final answer
    x = 38,954.30

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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.