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Finding the Fourth Proportional to 32,674.47, 49,016.25 and 10,494.65

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Solution

The fourth proportional to 32,674.47, 49,016.25 and 10,494.65 is: 15,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.47 : 49,016.25 = 10,494.65 : x
  2. Step 2: Convert to fraction form
    32,674.47/49,016.25 = 10,494.65/x
  3. Step 3: Cross multiply
    32,674.47x = 49,016.25 × 10,494.65
  4. Step 4: Simplify right side
    32,674.47x = 514,408,142.98
  5. Step 5: Solve for x
    x = 514,408,142.98/32,674.47
  6. Step 6: Final answer
    x = 15,743.43

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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.