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Finding the Fourth Proportional to 37,568.20, 56,417.10 and 20,072.20

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Solution

The fourth proportional to 37,568.20, 56,417.10 and 20,072.20 is: 30,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,568.20 : 56,417.10 = 20,072.20 : x
  2. Step 2: Convert to fraction form
    37,568.20/56,417.10 = 20,072.20/x
  3. Step 3: Cross multiply
    37,568.20x = 56,417.10 × 20,072.20
  4. Step 4: Simplify right side
    37,568.20x = 1,132,415,314.62
  5. Step 5: Solve for x
    x = 1,132,415,314.62/37,568.20
  6. Step 6: Final answer
    x = 30,142.92

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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.