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Finding the Fourth Proportional to 31,779.72, 43,837.78 and 19,822.30

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Solution

The fourth proportional to 31,779.72, 43,837.78 and 19,822.30 is: 27,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.72 : 43,837.78 = 19,822.30 : x
  2. Step 2: Convert to fraction form
    31,779.72/43,837.78 = 19,822.30/x
  3. Step 3: Cross multiply
    31,779.72x = 43,837.78 × 19,822.30
  4. Step 4: Simplify right side
    31,779.72x = 868,965,626.49
  5. Step 5: Solve for x
    x = 868,965,626.49/31,779.72
  6. Step 6: Final answer
    x = 27,343.40

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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.