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Finding the Fourth Proportional to 31,749.06, 43,803.74 and 19,819.32

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Solution

The fourth proportional to 31,749.06, 43,803.74 and 19,819.32 is: 27,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,749.06 : 43,803.74 = 19,819.32 : x
  2. Step 2: Convert to fraction form
    31,749.06/43,803.74 = 19,819.32/x
  3. Step 3: Cross multiply
    31,749.06x = 43,803.74 × 19,819.32
  4. Step 4: Simplify right side
    31,749.06x = 868,160,340.26
  5. Step 5: Solve for x
    x = 868,160,340.26/31,749.06
  6. Step 6: Final answer
    x = 27,344.44

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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.