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Finding the Fourth Proportional to 57,717.60, 86,579.10 and 18,277.80

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Solution

The fourth proportional to 57,717.60, 86,579.10 and 18,277.80 is: 27,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,717.60 : 86,579.10 = 18,277.80 : x
  2. Step 2: Convert to fraction form
    57,717.60/86,579.10 = 18,277.80/x
  3. Step 3: Cross multiply
    57,717.60x = 86,579.10 × 18,277.80
  4. Step 4: Simplify right side
    57,717.60x = 1,582,475,473.98
  5. Step 5: Solve for x
    x = 1,582,475,473.98/57,717.60
  6. Step 6: Final answer
    x = 27,417.56

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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.