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Finding the Fourth Proportional to 57,654.16, 86,449.84 and 26,027.16

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Solution

The fourth proportional to 57,654.16, 86,449.84 and 26,027.16 is: 39,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,654.16 : 86,449.84 = 26,027.16 : x
  2. Step 2: Convert to fraction form
    57,654.16/86,449.84 = 26,027.16/x
  3. Step 3: Cross multiply
    57,654.16x = 86,449.84 × 26,027.16
  4. Step 4: Simplify right side
    57,654.16x = 2,250,043,817.65
  5. Step 5: Solve for x
    x = 2,250,043,817.65/57,654.16
  6. Step 6: Final answer
    x = 39,026.56

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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.