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Finding the Fourth Proportional to 50,891.04, 70,227 and 28,228.14

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Solution

The fourth proportional to 50,891.04, 70,227 and 28,228.14 is: 38,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,891.04 : 70,227 = 28,228.14 : x
  2. Step 2: Convert to fraction form
    50,891.04/70,227 = 28,228.14/x
  3. Step 3: Cross multiply
    50,891.04x = 70,227 × 28,228.14
  4. Step 4: Simplify right side
    50,891.04x = 1,982,377,587.78
  5. Step 5: Solve for x
    x = 1,982,377,587.78/50,891.04
  6. Step 6: Final answer
    x = 38,953.37

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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.