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Finding the Fourth Proportional to 55,186.92, 82,780.38 and 24,022.17

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Solution

The fourth proportional to 55,186.92, 82,780.38 and 24,022.17 is: 36,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,186.92 : 82,780.38 = 24,022.17 : x
  2. Step 2: Convert to fraction form
    55,186.92/82,780.38 = 24,022.17/x
  3. Step 3: Cross multiply
    55,186.92x = 82,780.38 × 24,022.17
  4. Step 4: Simplify right side
    55,186.92x = 1,988,564,361.02
  5. Step 5: Solve for x
    x = 1,988,564,361.02/55,186.92
  6. Step 6: Final answer
    x = 36,033.26

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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.