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Finding the Fourth Proportional to 52,089.70, 71,884.13 and 28,216.37

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Solution

The fourth proportional to 52,089.70, 71,884.13 and 28,216.37 is: 38,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,089.70 : 71,884.13 = 28,216.37 : x
  2. Step 2: Convert to fraction form
    52,089.70/71,884.13 = 28,216.37/x
  3. Step 3: Cross multiply
    52,089.70x = 71,884.13 × 28,216.37
  4. Step 4: Simplify right side
    52,089.70x = 2,028,309,388.92
  5. Step 5: Solve for x
    x = 2,028,309,388.92/52,089.70
  6. Step 6: Final answer
    x = 38,938.78

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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.