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Finding the Fourth Proportional to 30,201.12, 41,674.50 and 17,633.16

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Solution

The fourth proportional to 30,201.12, 41,674.50 and 17,633.16 is: 24,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.12 : 41,674.50 = 17,633.16 : x
  2. Step 2: Convert to fraction form
    30,201.12/41,674.50 = 17,633.16/x
  3. Step 3: Cross multiply
    30,201.12x = 41,674.50 × 17,633.16
  4. Step 4: Simplify right side
    30,201.12x = 734,853,126.42
  5. Step 5: Solve for x
    x = 734,853,126.42/30,201.12
  6. Step 6: Final answer
    x = 24,331.98

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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.