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Finding the Fourth Proportional to 45,194.88, 62,331.96 and 31,810.44

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Solution

The fourth proportional to 45,194.88, 62,331.96 and 31,810.44 is: 43,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,194.88 : 62,331.96 = 31,810.44 : x
  2. Step 2: Convert to fraction form
    45,194.88/62,331.96 = 31,810.44/x
  3. Step 3: Cross multiply
    45,194.88x = 62,331.96 × 31,810.44
  4. Step 4: Simplify right side
    45,194.88x = 1,982,807,073.66
  5. Step 5: Solve for x
    x = 1,982,807,073.66/45,194.88
  6. Step 6: Final answer
    x = 43,872.38

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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.