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Finding the Fourth Proportional to 30,750.98, 42,443.26 and 20,134.44

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Solution

The fourth proportional to 30,750.98, 42,443.26 and 20,134.44 is: 27,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,750.98 : 42,443.26 = 20,134.44 : x
  2. Step 2: Convert to fraction form
    30,750.98/42,443.26 = 20,134.44/x
  3. Step 3: Cross multiply
    30,750.98x = 42,443.26 × 20,134.44
  4. Step 4: Simplify right side
    30,750.98x = 854,571,271.87
  5. Step 5: Solve for x
    x = 854,571,271.87/30,750.98
  6. Step 6: Final answer
    x = 27,790.05

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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.