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Finding the Fourth Proportional to 33,497.56, 46,228.10 and 20,071

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Solution

The fourth proportional to 33,497.56, 46,228.10 and 20,071 is: 27,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,497.56 : 46,228.10 = 20,071 : x
  2. Step 2: Convert to fraction form
    33,497.56/46,228.10 = 20,071/x
  3. Step 3: Cross multiply
    33,497.56x = 46,228.10 × 20,071
  4. Step 4: Simplify right side
    33,497.56x = 927,844,195.10
  5. Step 5: Solve for x
    x = 927,844,195.10/33,497.56
  6. Step 6: Final answer
    x = 27,698.86

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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.