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Finding the Fourth Proportional to 31,614.48, 43,603.38 and 22,411.80

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Solution

The fourth proportional to 31,614.48, 43,603.38 and 22,411.80 is: 30,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.48 : 43,603.38 = 22,411.80 : x
  2. Step 2: Convert to fraction form
    31,614.48/43,603.38 = 22,411.80/x
  3. Step 3: Cross multiply
    31,614.48x = 43,603.38 × 22,411.80
  4. Step 4: Simplify right side
    31,614.48x = 977,230,231.88
  5. Step 5: Solve for x
    x = 977,230,231.88/31,614.48
  6. Step 6: Final answer
    x = 30,910.84

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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.