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Finding the Fourth Proportional to 33,462.47, 46,182.06 and 20,033.71

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Solution

The fourth proportional to 33,462.47, 46,182.06 and 20,033.71 is: 27,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,462.47 : 46,182.06 = 20,033.71 : x
  2. Step 2: Convert to fraction form
    33,462.47/46,182.06 = 20,033.71/x
  3. Step 3: Cross multiply
    33,462.47x = 46,182.06 × 20,033.71
  4. Step 4: Simplify right side
    33,462.47x = 925,197,997.24
  5. Step 5: Solve for x
    x = 925,197,997.24/33,462.47
  6. Step 6: Final answer
    x = 27,648.83

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