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Finding the Fourth Proportional to 37,120.50, 55,679.67 and 13,746.42

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Solution

The fourth proportional to 37,120.50, 55,679.67 and 13,746.42 is: 20,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,120.50 : 55,679.67 = 13,746.42 : x
  2. Step 2: Convert to fraction form
    37,120.50/55,679.67 = 13,746.42/x
  3. Step 3: Cross multiply
    37,120.50x = 55,679.67 × 13,746.42
  4. Step 4: Simplify right side
    37,120.50x = 765,396,129.28
  5. Step 5: Solve for x
    x = 765,396,129.28/37,120.50
  6. Step 6: Final answer
    x = 20,619.23

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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.