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Finding the Fourth Proportional to 31,407.82, 43,325.49 and 19,901.68

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Solution

The fourth proportional to 31,407.82, 43,325.49 and 19,901.68 is: 27,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.82 : 43,325.49 = 19,901.68 : x
  2. Step 2: Convert to fraction form
    31,407.82/43,325.49 = 19,901.68/x
  3. Step 3: Cross multiply
    31,407.82x = 43,325.49 × 19,901.68
  4. Step 4: Simplify right side
    31,407.82x = 862,250,037.82
  5. Step 5: Solve for x
    x = 862,250,037.82/31,407.82
  6. Step 6: Final answer
    x = 27,453.36

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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.