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Finding the Fourth Proportional to 31,989.38, 44,143.34 and 17,649.38

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Solution

The fourth proportional to 31,989.38, 44,143.34 and 17,649.38 is: 24,355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,989.38 : 44,143.34 = 17,649.38 : x
  2. Step 2: Convert to fraction form
    31,989.38/44,143.34 = 17,649.38/x
  3. Step 3: Cross multiply
    31,989.38x = 44,143.34 × 17,649.38
  4. Step 4: Simplify right side
    31,989.38x = 779,102,273.17
  5. Step 5: Solve for x
    x = 779,102,273.17/31,989.38
  6. Step 6: Final answer
    x = 24,355.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.