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Finding the Fourth Proportional to 57,149.50, 78,866.34 and 31,999.54

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Solution

The fourth proportional to 57,149.50, 78,866.34 and 31,999.54 is: 44,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,149.50 : 78,866.34 = 31,999.54 : x
  2. Step 2: Convert to fraction form
    57,149.50/78,866.34 = 31,999.54/x
  3. Step 3: Cross multiply
    57,149.50x = 78,866.34 × 31,999.54
  4. Step 4: Simplify right side
    57,149.50x = 2,523,686,601.48
  5. Step 5: Solve for x
    x = 2,523,686,601.48/57,149.50
  6. Step 6: Final answer
    x = 44,159.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.