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Finding the Fourth Proportional to 31,877.38, 43,991.34 and 17,730.22

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Solution

The fourth proportional to 31,877.38, 43,991.34 and 17,730.22 is: 24,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877.38 : 43,991.34 = 17,730.22 : x
  2. Step 2: Convert to fraction form
    31,877.38/43,991.34 = 17,730.22/x
  3. Step 3: Cross multiply
    31,877.38x = 43,991.34 × 17,730.22
  4. Step 4: Simplify right side
    31,877.38x = 779,976,136.29
  5. Step 5: Solve for x
    x = 779,976,136.29/31,877.38
  6. Step 6: Final answer
    x = 24,468.01

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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.