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Finding the Fourth Proportional to 57,391.96, 86,092.89 and 15,838.96

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Solution

The fourth proportional to 57,391.96, 86,092.89 and 15,838.96 is: 23,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,391.96 : 86,092.89 = 15,838.96 : x
  2. Step 2: Convert to fraction form
    57,391.96/86,092.89 = 15,838.96/x
  3. Step 3: Cross multiply
    57,391.96x = 86,092.89 × 15,838.96
  4. Step 4: Simplify right side
    57,391.96x = 1,363,621,840.99
  5. Step 5: Solve for x
    x = 1,363,621,840.99/57,391.96
  6. Step 6: Final answer
    x = 23,759.81

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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.