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Finding the Fourth Proportional to 31,709.60, 43,745.52 and 19,127.36

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Solution

The fourth proportional to 31,709.60, 43,745.52 and 19,127.36 is: 26,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.60 : 43,745.52 = 19,127.36 : x
  2. Step 2: Convert to fraction form
    31,709.60/43,745.52 = 19,127.36/x
  3. Step 3: Cross multiply
    31,709.60x = 43,745.52 × 19,127.36
  4. Step 4: Simplify right side
    31,709.60x = 836,736,309.43
  5. Step 5: Solve for x
    x = 836,736,309.43/31,709.60
  6. Step 6: Final answer
    x = 26,387.48

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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.