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Finding the Fourth Proportional to 33,261.67, 45,899.96 and 19,826

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Solution

The fourth proportional to 33,261.67, 45,899.96 and 19,826 is: 27,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,261.67 : 45,899.96 = 19,826 : x
  2. Step 2: Convert to fraction form
    33,261.67/45,899.96 = 19,826/x
  3. Step 3: Cross multiply
    33,261.67x = 45,899.96 × 19,826
  4. Step 4: Simplify right side
    33,261.67x = 910,012,606.96
  5. Step 5: Solve for x
    x = 910,012,606.96/33,261.67
  6. Step 6: Final answer
    x = 27,359.20

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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.