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Finding the Fourth Proportional to 37,966.40, 56,998.20 and 20,211.20

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Solution

The fourth proportional to 37,966.40, 56,998.20 and 20,211.20 is: 30,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,966.40 : 56,998.20 = 20,211.20 : x
  2. Step 2: Convert to fraction form
    37,966.40/56,998.20 = 20,211.20/x
  3. Step 3: Cross multiply
    37,966.40x = 56,998.20 × 20,211.20
  4. Step 4: Simplify right side
    37,966.40x = 1,152,002,019.84
  5. Step 5: Solve for x
    x = 1,152,002,019.84/37,966.40
  6. Step 6: Final answer
    x = 30,342.67

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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.