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Finding the Fourth Proportional to 37,149.54, 55,738.17 and 14,969.21

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Solution

The fourth proportional to 37,149.54, 55,738.17 and 14,969.21 is: 22,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149.54 : 55,738.17 = 14,969.21 : x
  2. Step 2: Convert to fraction form
    37,149.54/55,738.17 = 14,969.21/x
  3. Step 3: Cross multiply
    37,149.54x = 55,738.17 × 14,969.21
  4. Step 4: Simplify right side
    37,149.54x = 834,356,093.05
  5. Step 5: Solve for x
    x = 834,356,093.05/37,149.54
  6. Step 6: Final answer
    x = 22,459.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.