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Finding the Fourth Proportional to 28,509.12, 42,729 and 20,191.56

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Solution

The fourth proportional to 28,509.12, 42,729 and 20,191.56 is: 30,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509.12 : 42,729 = 20,191.56 : x
  2. Step 2: Convert to fraction form
    28,509.12/42,729 = 20,191.56/x
  3. Step 3: Cross multiply
    28,509.12x = 42,729 × 20,191.56
  4. Step 4: Simplify right side
    28,509.12x = 862,765,167.24
  5. Step 5: Solve for x
    x = 862,765,167.24/28,509.12
  6. Step 6: Final answer
    x = 30,262.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.