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Finding the Fourth Proportional to 54,497.72, 75,204.42 and 31,838.80

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Solution

The fourth proportional to 54,497.72, 75,204.42 and 31,838.80 is: 43,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497.72 : 75,204.42 = 31,838.80 : x
  2. Step 2: Convert to fraction form
    54,497.72/75,204.42 = 31,838.80/x
  3. Step 3: Cross multiply
    54,497.72x = 75,204.42 × 31,838.80
  4. Step 4: Simplify right side
    54,497.72x = 2,394,418,487.50
  5. Step 5: Solve for x
    x = 2,394,418,487.50/54,497.72
  6. Step 6: Final answer
    x = 43,936.12

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