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Finding the Fourth Proportional to 37,468.20, 56,202.30 and 9,766.20

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Solution

The fourth proportional to 37,468.20, 56,202.30 and 9,766.20 is: 14,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468.20 : 56,202.30 = 9,766.20 : x
  2. Step 2: Convert to fraction form
    37,468.20/56,202.30 = 9,766.20/x
  3. Step 3: Cross multiply
    37,468.20x = 56,202.30 × 9,766.20
  4. Step 4: Simplify right side
    37,468.20x = 548,882,902.26
  5. Step 5: Solve for x
    x = 548,882,902.26/37,468.20
  6. Step 6: Final answer
    x = 14,649.30

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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.