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Finding the Fourth Proportional to 50,877.31, 70,208.22 and 28,217.20

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Solution

The fourth proportional to 50,877.31, 70,208.22 and 28,217.20 is: 38,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,877.31 : 70,208.22 = 28,217.20 : x
  2. Step 2: Convert to fraction form
    50,877.31/70,208.22 = 28,217.20/x
  3. Step 3: Cross multiply
    50,877.31x = 70,208.22 × 28,217.20
  4. Step 4: Simplify right side
    50,877.31x = 1,981,079,385.38
  5. Step 5: Solve for x
    x = 1,981,079,385.38/50,877.31
  6. Step 6: Final answer
    x = 38,938.37

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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.