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Finding the Fourth Proportional to 33,833.81, 46,690.29 and 20,228.10

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Solution

The fourth proportional to 33,833.81, 46,690.29 and 20,228.10 is: 27,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,833.81 : 46,690.29 = 20,228.10 : x
  2. Step 2: Convert to fraction form
    33,833.81/46,690.29 = 20,228.10/x
  3. Step 3: Cross multiply
    33,833.81x = 46,690.29 × 20,228.10
  4. Step 4: Simplify right side
    33,833.81x = 944,455,855.15
  5. Step 5: Solve for x
    x = 944,455,855.15/33,833.81
  6. Step 6: Final answer
    x = 27,914.56

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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.