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Finding the Fourth Proportional to 57,659.76, 86,430.24 and 41,825.34

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Solution

The fourth proportional to 57,659.76, 86,430.24 and 41,825.34 is: 62,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,659.76 : 86,430.24 = 41,825.34 : x
  2. Step 2: Convert to fraction form
    57,659.76/86,430.24 = 41,825.34/x
  3. Step 3: Cross multiply
    57,659.76x = 86,430.24 × 41,825.34
  4. Step 4: Simplify right side
    57,659.76x = 3,614,974,174.28
  5. Step 5: Solve for x
    x = 3,614,974,174.28/57,659.76
  6. Step 6: Final answer
    x = 62,694.92

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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.