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Finding the Fourth Proportional to 32,949.58, 49,423.94 and 13,227.78

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Solution

The fourth proportional to 32,949.58, 49,423.94 and 13,227.78 is: 19,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,949.58 : 49,423.94 = 13,227.78 : x
  2. Step 2: Convert to fraction form
    32,949.58/49,423.94 = 13,227.78/x
  3. Step 3: Cross multiply
    32,949.58x = 49,423.94 × 13,227.78
  4. Step 4: Simplify right side
    32,949.58x = 653,769,005.05
  5. Step 5: Solve for x
    x = 653,769,005.05/32,949.58
  6. Step 6: Final answer
    x = 19,841.50

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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.