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Finding the Fourth Proportional to 55,187.83, 82,773.97 and 17,743.14

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Solution

The fourth proportional to 55,187.83, 82,773.97 and 17,743.14 is: 26,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,187.83 : 82,773.97 = 17,743.14 : x
  2. Step 2: Convert to fraction form
    55,187.83/82,773.97 = 17,743.14/x
  3. Step 3: Cross multiply
    55,187.83x = 82,773.97 × 17,743.14
  4. Step 4: Simplify right side
    55,187.83x = 1,468,670,575.96
  5. Step 5: Solve for x
    x = 1,468,670,575.96/55,187.83
  6. Step 6: Final answer
    x = 26,612.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.