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Finding the Fourth Proportional to 32,819.58, 49,217.22 and 11,753.82

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Solution

The fourth proportional to 32,819.58, 49,217.22 and 11,753.82 is: 17,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,819.58 : 49,217.22 = 11,753.82 : x
  2. Step 2: Convert to fraction form
    32,819.58/49,217.22 = 11,753.82/x
  3. Step 3: Cross multiply
    32,819.58x = 49,217.22 × 11,753.82
  4. Step 4: Simplify right side
    32,819.58x = 578,490,344.78
  5. Step 5: Solve for x
    x = 578,490,344.78/32,819.58
  6. Step 6: Final answer
    x = 17,626.38

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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.