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Finding the Fourth Proportional to 34,694.80, 52,042.35 and 8,399.50

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Solution

The fourth proportional to 34,694.80, 52,042.35 and 8,399.50 is: 12,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,694.80 : 52,042.35 = 8,399.50 : x
  2. Step 2: Convert to fraction form
    34,694.80/52,042.35 = 8,399.50/x
  3. Step 3: Cross multiply
    34,694.80x = 52,042.35 × 8,399.50
  4. Step 4: Simplify right side
    34,694.80x = 437,129,458.61
  5. Step 5: Solve for x
    x = 437,129,458.61/34,694.80
  6. Step 6: Final answer
    x = 12,599.28

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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.