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Finding the Fourth Proportional to 34,691.52, 52,037.04 and 8,396.40

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Solution

The fourth proportional to 34,691.52, 52,037.04 and 8,396.40 is: 12,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,691.52 : 52,037.04 = 8,396.40 : x
  2. Step 2: Convert to fraction form
    34,691.52/52,037.04 = 8,396.40/x
  3. Step 3: Cross multiply
    34,691.52x = 52,037.04 × 8,396.40
  4. Step 4: Simplify right side
    34,691.52x = 436,923,802.66
  5. Step 5: Solve for x
    x = 436,923,802.66/34,691.52
  6. Step 6: Final answer
    x = 12,594.54

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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.