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Finding the Fourth Proportional to 54,426.75, 81,671.64 and 22,834

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Solution

The fourth proportional to 54,426.75, 81,671.64 and 22,834 is: 34,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,426.75 : 81,671.64 = 22,834 : x
  2. Step 2: Convert to fraction form
    54,426.75/81,671.64 = 22,834/x
  3. Step 3: Cross multiply
    54,426.75x = 81,671.64 × 22,834
  4. Step 4: Simplify right side
    54,426.75x = 1,864,890,227.76
  5. Step 5: Solve for x
    x = 1,864,890,227.76/54,426.75
  6. Step 6: Final answer
    x = 34,264.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.