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Finding the Fourth Proportional to 57,121.34, 78,830.38 and 31,630.49

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Solution

The fourth proportional to 57,121.34, 78,830.38 and 31,630.49 is: 43,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,121.34 : 78,830.38 = 31,630.49 : x
  2. Step 2: Convert to fraction form
    57,121.34/78,830.38 = 31,630.49/x
  3. Step 3: Cross multiply
    57,121.34x = 78,830.38 × 31,630.49
  4. Step 4: Simplify right side
    57,121.34x = 2,493,443,546.29
  5. Step 5: Solve for x
    x = 2,493,443,546.29/57,121.34
  6. Step 6: Final answer
    x = 43,651.70

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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.