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Finding the Fourth Proportional to 33,478.68, 46,198.40 and 19,331.22

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Solution

The fourth proportional to 33,478.68, 46,198.40 and 19,331.22 is: 26,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,478.68 : 46,198.40 = 19,331.22 : x
  2. Step 2: Convert to fraction form
    33,478.68/46,198.40 = 19,331.22/x
  3. Step 3: Cross multiply
    33,478.68x = 46,198.40 × 19,331.22
  4. Step 4: Simplify right side
    33,478.68x = 893,071,434.05
  5. Step 5: Solve for x
    x = 893,071,434.05/33,478.68
  6. Step 6: Final answer
    x = 26,675.83

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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.