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Finding the Fourth Proportional to 34,747.76, 52,120.88 and 8,452.64

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Solution

The fourth proportional to 34,747.76, 52,120.88 and 8,452.64 is: 12,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,747.76 : 52,120.88 = 8,452.64 : x
  2. Step 2: Convert to fraction form
    34,747.76/52,120.88 = 8,452.64/x
  3. Step 3: Cross multiply
    34,747.76x = 52,120.88 × 8,452.64
  4. Step 4: Simplify right side
    34,747.76x = 440,559,035.12
  5. Step 5: Solve for x
    x = 440,559,035.12/34,747.76
  6. Step 6: Final answer
    x = 12,678.78

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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.