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Finding the Fourth Proportional to 30,745.98, 42,435.63 and 20,131.74

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Solution

The fourth proportional to 30,745.98, 42,435.63 and 20,131.74 is: 27,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.98 : 42,435.63 = 20,131.74 : x
  2. Step 2: Convert to fraction form
    30,745.98/42,435.63 = 20,131.74/x
  3. Step 3: Cross multiply
    30,745.98x = 42,435.63 × 20,131.74
  4. Step 4: Simplify right side
    30,745.98x = 854,303,069.90
  5. Step 5: Solve for x
    x = 854,303,069.90/30,745.98
  6. Step 6: Final answer
    x = 27,785.85

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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.