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Finding the Fourth Proportional to 55,344, 83,028.96 and 18,408

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Solution

The fourth proportional to 55,344, 83,028.96 and 18,408 is: 27,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,344 : 83,028.96 = 18,408 : x
  2. Step 2: Convert to fraction form
    55,344/83,028.96 = 18,408/x
  3. Step 3: Cross multiply
    55,344x = 83,028.96 × 18,408
  4. Step 4: Simplify right side
    55,344x = 1,528,397,095.68
  5. Step 5: Solve for x
    x = 1,528,397,095.68/55,344
  6. Step 6: Final answer
    x = 27,616.31

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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.