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Finding the Fourth Proportional to 36,420.88, 54,649.20 and 13,049.20

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Solution

The fourth proportional to 36,420.88, 54,649.20 and 13,049.20 is: 19,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,420.88 : 54,649.20 = 13,049.20 : x
  2. Step 2: Convert to fraction form
    36,420.88/54,649.20 = 13,049.20/x
  3. Step 3: Cross multiply
    36,420.88x = 54,649.20 × 13,049.20
  4. Step 4: Simplify right side
    36,420.88x = 713,128,340.64
  5. Step 5: Solve for x
    x = 713,128,340.64/36,420.88
  6. Step 6: Final answer
    x = 19,580.21

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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.