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Finding the Fourth Proportional to 31,857.80, 43,963.34 and 18,428.76

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Solution

The fourth proportional to 31,857.80, 43,963.34 and 18,428.76 is: 25,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,857.80 : 43,963.34 = 18,428.76 : x
  2. Step 2: Convert to fraction form
    31,857.80/43,963.34 = 18,428.76/x
  3. Step 3: Cross multiply
    31,857.80x = 43,963.34 × 18,428.76
  4. Step 4: Simplify right side
    31,857.80x = 810,189,749.51
  5. Step 5: Solve for x
    x = 810,189,749.51/31,857.80
  6. Step 6: Final answer
    x = 25,431.44

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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.