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Finding the Fourth Proportional to 30,969.11, 42,755.11 and 20,389.50

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Solution

The fourth proportional to 30,969.11, 42,755.11 and 20,389.50 is: 28,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.11 : 42,755.11 = 20,389.50 : x
  2. Step 2: Convert to fraction form
    30,969.11/42,755.11 = 20,389.50/x
  3. Step 3: Cross multiply
    30,969.11x = 42,755.11 × 20,389.50
  4. Step 4: Simplify right side
    30,969.11x = 871,755,264.37
  5. Step 5: Solve for x
    x = 871,755,264.37/30,969.11
  6. Step 6: Final answer
    x = 28,149.18

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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.