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Finding the Fourth Proportional to 30,745.48, 42,434.94 and 20,131.24

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Solution

The fourth proportional to 30,745.48, 42,434.94 and 20,131.24 is: 27,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.48 : 42,434.94 = 20,131.24 : x
  2. Step 2: Convert to fraction form
    30,745.48/42,434.94 = 20,131.24/x
  3. Step 3: Cross multiply
    30,745.48x = 42,434.94 × 20,131.24
  4. Step 4: Simplify right side
    30,745.48x = 854,267,961.53
  5. Step 5: Solve for x
    x = 854,267,961.53/30,745.48
  6. Step 6: Final answer
    x = 27,785.16

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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.