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Finding the Fourth Proportional to 36,138.78, 54,219.71 and 17,420.49

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Solution

The fourth proportional to 36,138.78, 54,219.71 and 17,420.49 is: 26,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,138.78 : 54,219.71 = 17,420.49 : x
  2. Step 2: Convert to fraction form
    36,138.78/54,219.71 = 17,420.49/x
  3. Step 3: Cross multiply
    36,138.78x = 54,219.71 × 17,420.49
  4. Step 4: Simplify right side
    36,138.78x = 944,533,959.41
  5. Step 5: Solve for x
    x = 944,533,959.41/36,138.78
  6. Step 6: Final answer
    x = 26,136.30

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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.