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Finding the Fourth Proportional to 57,535.71, 86,317.13 and 18,092.82

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Solution

The fourth proportional to 57,535.71, 86,317.13 and 18,092.82 is: 27,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,535.71 : 86,317.13 = 18,092.82 : x
  2. Step 2: Convert to fraction form
    57,535.71/86,317.13 = 18,092.82/x
  3. Step 3: Cross multiply
    57,535.71x = 86,317.13 × 18,092.82
  4. Step 4: Simplify right side
    57,535.71x = 1,561,720,341.24
  5. Step 5: Solve for x
    x = 1,561,720,341.24/57,535.71
  6. Step 6: Final answer
    x = 27,143.50

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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.