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Finding the Fourth Proportional to 55,476, 83,214 and 18,540

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Solution

The fourth proportional to 55,476, 83,214 and 18,540 is: 27,810

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,476 : 83,214 = 18,540 : x
  2. Step 2: Convert to fraction form
    55,476/83,214 = 18,540/x
  3. Step 3: Cross multiply
    55,476x = 83,214 × 18,540
  4. Step 4: Simplify right side
    55,476x = 1,542,787,560
  5. Step 5: Solve for x
    x = 1,542,787,560/55,476
  6. Step 6: Final answer
    x = 27,810

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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.