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Finding the Fourth Proportional to 34,753.74, 52,129.86 and 8,458.62

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Solution

The fourth proportional to 34,753.74, 52,129.86 and 8,458.62 is: 12,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,753.74 : 52,129.86 = 8,458.62 : x
  2. Step 2: Convert to fraction form
    34,753.74/52,129.86 = 8,458.62/x
  3. Step 3: Cross multiply
    34,753.74x = 52,129.86 × 8,458.62
  4. Step 4: Simplify right side
    34,753.74x = 440,946,676.39
  5. Step 5: Solve for x
    x = 440,946,676.39/34,753.74
  6. Step 6: Final answer
    x = 12,687.75

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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.