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Finding the Fourth Proportional to 34,713.56, 52,069.88 and 8,418.54

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Solution

The fourth proportional to 34,713.56, 52,069.88 and 8,418.54 is: 12,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,713.56 : 52,069.88 = 8,418.54 : x
  2. Step 2: Convert to fraction form
    34,713.56/52,069.88 = 8,418.54/x
  3. Step 3: Cross multiply
    34,713.56x = 52,069.88 × 8,418.54
  4. Step 4: Simplify right side
    34,713.56x = 438,352,367.58
  5. Step 5: Solve for x
    x = 438,352,367.58/34,713.56
  6. Step 6: Final answer
    x = 12,627.70

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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.