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Finding the Fourth Proportional to 39,822, 54,954.84 and 22,158

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Solution

The fourth proportional to 39,822, 54,954.84 and 22,158 is: 30,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,822 : 54,954.84 = 22,158 : x
  2. Step 2: Convert to fraction form
    39,822/54,954.84 = 22,158/x
  3. Step 3: Cross multiply
    39,822x = 54,954.84 × 22,158
  4. Step 4: Simplify right side
    39,822x = 1,217,689,344.72
  5. Step 5: Solve for x
    x = 1,217,689,344.72/39,822
  6. Step 6: Final answer
    x = 30,578.31

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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.