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Finding the Fourth Proportional to 57,240.30, 78,996.35 and 31,754.89

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Solution

The fourth proportional to 57,240.30, 78,996.35 and 31,754.89 is: 43,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,240.30 : 78,996.35 = 31,754.89 : x
  2. Step 2: Convert to fraction form
    57,240.30/78,996.35 = 31,754.89/x
  3. Step 3: Cross multiply
    57,240.30x = 78,996.35 × 31,754.89
  4. Step 4: Simplify right side
    57,240.30x = 2,508,520,404.65
  5. Step 5: Solve for x
    x = 2,508,520,404.65/57,240.30
  6. Step 6: Final answer
    x = 43,824.38

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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.