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Finding the Fourth Proportional to 33,543.47, 50,064.02 and 32,989.83

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Solution

The fourth proportional to 33,543.47, 50,064.02 and 32,989.83 is: 49,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,543.47 : 50,064.02 = 32,989.83 : x
  2. Step 2: Convert to fraction form
    33,543.47/50,064.02 = 32,989.83/x
  3. Step 3: Cross multiply
    33,543.47x = 50,064.02 × 32,989.83
  4. Step 4: Simplify right side
    33,543.47x = 1,651,603,343.97
  5. Step 5: Solve for x
    x = 1,651,603,343.97/33,543.47
  6. Step 6: Final answer
    x = 49,237.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.