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Finding the Fourth Proportional to 55,693.44, 83,540.16 and 27,972

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Solution

The fourth proportional to 55,693.44, 83,540.16 and 27,972 is: 41,958

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,693.44 : 83,540.16 = 27,972 : x
  2. Step 2: Convert to fraction form
    55,693.44/83,540.16 = 27,972/x
  3. Step 3: Cross multiply
    55,693.44x = 83,540.16 × 27,972
  4. Step 4: Simplify right side
    55,693.44x = 2,336,785,355.52
  5. Step 5: Solve for x
    x = 2,336,785,355.52/55,693.44
  6. Step 6: Final answer
    x = 41,958

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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.