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Finding the Fourth Proportional to 55,142.74, 82,727.96 and 17,706.16

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Solution

The fourth proportional to 55,142.74, 82,727.96 and 17,706.16 is: 26,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,142.74 : 82,727.96 = 17,706.16 : x
  2. Step 2: Convert to fraction form
    55,142.74/82,727.96 = 17,706.16/x
  3. Step 3: Cross multiply
    55,142.74x = 82,727.96 × 17,706.16
  4. Step 4: Simplify right side
    55,142.74x = 1,464,794,496.23
  5. Step 5: Solve for x
    x = 1,464,794,496.23/55,142.74
  6. Step 6: Final answer
    x = 26,563.69

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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.