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Finding the Fourth Proportional to 47,983.52, 66,216.29 and 27,842.37

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Solution

The fourth proportional to 47,983.52, 66,216.29 and 27,842.37 is: 38,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,983.52 : 66,216.29 = 27,842.37 : x
  2. Step 2: Convert to fraction form
    47,983.52/66,216.29 = 27,842.37/x
  3. Step 3: Cross multiply
    47,983.52x = 66,216.29 × 27,842.37
  4. Step 4: Simplify right side
    47,983.52x = 1,843,618,058.68
  5. Step 5: Solve for x
    x = 1,843,618,058.68/47,983.52
  6. Step 6: Final answer
    x = 38,421.90

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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.