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Finding the Fourth Proportional to 36,838.80, 55,258.20 and 13,462.20

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Solution

The fourth proportional to 36,838.80, 55,258.20 and 13,462.20 is: 20,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,838.80 : 55,258.20 = 13,462.20 : x
  2. Step 2: Convert to fraction form
    36,838.80/55,258.20 = 13,462.20/x
  3. Step 3: Cross multiply
    36,838.80x = 55,258.20 × 13,462.20
  4. Step 4: Simplify right side
    36,838.80x = 743,896,940.04
  5. Step 5: Solve for x
    x = 743,896,940.04/36,838.80
  6. Step 6: Final answer
    x = 20,193.30

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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.