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Finding the Fourth Proportional to 58,884.26, 81,260.82 and 32,027

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Solution

The fourth proportional to 58,884.26, 81,260.82 and 32,027 is: 44,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,884.26 : 81,260.82 = 32,027 : x
  2. Step 2: Convert to fraction form
    58,884.26/81,260.82 = 32,027/x
  3. Step 3: Cross multiply
    58,884.26x = 81,260.82 × 32,027
  4. Step 4: Simplify right side
    58,884.26x = 2,602,540,282.14
  5. Step 5: Solve for x
    x = 2,602,540,282.14/58,884.26
  6. Step 6: Final answer
    x = 44,197.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.