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Finding the Fourth Proportional to 31,924.92, 44,057.10 and 17,779.08

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Solution

The fourth proportional to 31,924.92, 44,057.10 and 17,779.08 is: 24,535.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924.92 : 44,057.10 = 17,779.08 : x
  2. Step 2: Convert to fraction form
    31,924.92/44,057.10 = 17,779.08/x
  3. Step 3: Cross multiply
    31,924.92x = 44,057.10 × 17,779.08
  4. Step 4: Simplify right side
    31,924.92x = 783,294,705.47
  5. Step 5: Solve for x
    x = 783,294,705.47/31,924.92
  6. Step 6: Final answer
    x = 24,535.53

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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.