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Finding the Fourth Proportional to 37,993.40, 57,006.50 and 20,459.74

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Solution

The fourth proportional to 37,993.40, 57,006.50 and 20,459.74 is: 30,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,993.40 : 57,006.50 = 20,459.74 : x
  2. Step 2: Convert to fraction form
    37,993.40/57,006.50 = 20,459.74/x
  3. Step 3: Cross multiply
    37,993.40x = 57,006.50 × 20,459.74
  4. Step 4: Simplify right side
    37,993.40x = 1,166,337,883.28
  5. Step 5: Solve for x
    x = 1,166,337,883.28/37,993.40
  6. Step 6: Final answer
    x = 30,698.43

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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.