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Finding the Fourth Proportional to 57,449.30, 86,212.22 and 27,869.31

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Solution

The fourth proportional to 57,449.30, 86,212.22 and 27,869.31 is: 41,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,449.30 : 86,212.22 = 27,869.31 : x
  2. Step 2: Convert to fraction form
    57,449.30/86,212.22 = 27,869.31/x
  3. Step 3: Cross multiply
    57,449.30x = 86,212.22 × 27,869.31
  4. Step 4: Simplify right side
    57,449.30x = 2,402,674,945.62
  5. Step 5: Solve for x
    x = 2,402,674,945.62/57,449.30
  6. Step 6: Final answer
    x = 41,822.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.