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Finding the Fourth Proportional to 84,466.58, 126,700.74 and 34,512.56

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Solution

The fourth proportional to 84,466.58, 126,700.74 and 34,512.56 is: 51,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,466.58 : 126,700.74 = 34,512.56 : x
  2. Step 2: Convert to fraction form
    84,466.58/126,700.74 = 34,512.56/x
  3. Step 3: Cross multiply
    84,466.58x = 126,700.74 × 34,512.56
  4. Step 4: Simplify right side
    84,466.58x = 4,372,766,891.29
  5. Step 5: Solve for x
    x = 4,372,766,891.29/84,466.58
  6. Step 6: Final answer
    x = 51,769.20

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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.