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Finding the Fourth Proportional to 32,545.44, 48,818.97 and 9,171

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Solution

The fourth proportional to 32,545.44, 48,818.97 and 9,171 is: 13,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,545.44 : 48,818.97 = 9,171 : x
  2. Step 2: Convert to fraction form
    32,545.44/48,818.97 = 9,171/x
  3. Step 3: Cross multiply
    32,545.44x = 48,818.97 × 9,171
  4. Step 4: Simplify right side
    32,545.44x = 447,718,773.87
  5. Step 5: Solve for x
    x = 447,718,773.87/32,545.44
  6. Step 6: Final answer
    x = 13,756.73

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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.