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Finding the Fourth Proportional to 45,133.12, 67,713.52 and 20,194.16

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Solution

The fourth proportional to 45,133.12, 67,713.52 and 20,194.16 is: 30,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,133.12 : 67,713.52 = 20,194.16 : x
  2. Step 2: Convert to fraction form
    45,133.12/67,713.52 = 20,194.16/x
  3. Step 3: Cross multiply
    45,133.12x = 67,713.52 × 20,194.16
  4. Step 4: Simplify right side
    45,133.12x = 1,367,417,657.04
  5. Step 5: Solve for x
    x = 1,367,417,657.04/45,133.12
  6. Step 6: Final answer
    x = 30,297.43

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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.