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Finding the Fourth Proportional to 30,568.80, 45,853.18 and 20,178.12

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Solution

The fourth proportional to 30,568.80, 45,853.18 and 20,178.12 is: 30,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.80 : 45,853.18 = 20,178.12 : x
  2. Step 2: Convert to fraction form
    30,568.80/45,853.18 = 20,178.12/x
  3. Step 3: Cross multiply
    30,568.80x = 45,853.18 × 20,178.12
  4. Step 4: Simplify right side
    30,568.80x = 925,230,968.42
  5. Step 5: Solve for x
    x = 925,230,968.42/30,568.80
  6. Step 6: Final answer
    x = 30,267.17

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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.