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Finding the Fourth Proportional to 57,542.56, 86,317.89 and 15,422.56

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Solution

The fourth proportional to 57,542.56, 86,317.89 and 15,422.56 is: 23,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,542.56 : 86,317.89 = 15,422.56 : x
  2. Step 2: Convert to fraction form
    57,542.56/86,317.89 = 15,422.56/x
  3. Step 3: Cross multiply
    57,542.56x = 86,317.89 × 15,422.56
  4. Step 4: Simplify right side
    57,542.56x = 1,331,242,837.60
  5. Step 5: Solve for x
    x = 1,331,242,837.60/57,542.56
  6. Step 6: Final answer
    x = 23,134.93

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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.