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Finding the Fourth Proportional to 39,388.56, 59,083.16 and 27,754

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Solution

The fourth proportional to 39,388.56, 59,083.16 and 27,754 is: 41,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,388.56 : 59,083.16 = 27,754 : x
  2. Step 2: Convert to fraction form
    39,388.56/59,083.16 = 27,754/x
  3. Step 3: Cross multiply
    39,388.56x = 59,083.16 × 27,754
  4. Step 4: Simplify right side
    39,388.56x = 1,639,794,022.64
  5. Step 5: Solve for x
    x = 1,639,794,022.64/39,388.56
  6. Step 6: Final answer
    x = 41,631.23

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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.