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Finding the Fourth Proportional to 54,682, 75,461.18 and 29,531.50

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Solution

The fourth proportional to 54,682, 75,461.18 and 29,531.50 is: 40,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682 : 75,461.18 = 29,531.50 : x
  2. Step 2: Convert to fraction form
    54,682/75,461.18 = 29,531.50/x
  3. Step 3: Cross multiply
    54,682x = 75,461.18 × 29,531.50
  4. Step 4: Simplify right side
    54,682x = 2,228,481,837.17
  5. Step 5: Solve for x
    x = 2,228,481,837.17/54,682
  6. Step 6: Final answer
    x = 40,753.48

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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.