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Finding the Fourth Proportional to 37,649.08, 56,480.10 and 20,114.20

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Solution

The fourth proportional to 37,649.08, 56,480.10 and 20,114.20 is: 30,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,649.08 : 56,480.10 = 20,114.20 : x
  2. Step 2: Convert to fraction form
    37,649.08/56,480.10 = 20,114.20/x
  3. Step 3: Cross multiply
    37,649.08x = 56,480.10 × 20,114.20
  4. Step 4: Simplify right side
    37,649.08x = 1,136,052,027.42
  5. Step 5: Solve for x
    x = 1,136,052,027.42/37,649.08
  6. Step 6: Final answer
    x = 30,174.76

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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.