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Finding the Fourth Proportional to 57,716.64, 86,582.26 and 18,259.52

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Solution

The fourth proportional to 57,716.64, 86,582.26 and 18,259.52 is: 27,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,716.64 : 86,582.26 = 18,259.52 : x
  2. Step 2: Convert to fraction form
    57,716.64/86,582.26 = 18,259.52/x
  3. Step 3: Cross multiply
    57,716.64x = 86,582.26 × 18,259.52
  4. Step 4: Simplify right side
    57,716.64x = 1,580,950,508.12
  5. Step 5: Solve for x
    x = 1,580,950,508.12/57,716.64
  6. Step 6: Final answer
    x = 27,391.59

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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.