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Finding the Fourth Proportional to 57,126.72, 78,833.92 and 31,632.54

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Solution

The fourth proportional to 57,126.72, 78,833.92 and 31,632.54 is: 43,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,126.72 : 78,833.92 = 31,632.54 : x
  2. Step 2: Convert to fraction form
    57,126.72/78,833.92 = 31,632.54/x
  3. Step 3: Cross multiply
    57,126.72x = 78,833.92 × 31,632.54
  4. Step 4: Simplify right side
    57,126.72x = 2,493,717,048.68
  5. Step 5: Solve for x
    x = 2,493,717,048.68/57,126.72
  6. Step 6: Final answer
    x = 43,652.38

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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.