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Finding the Fourth Proportional to 37,414.50, 51,632.08 and 20,647.50

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Solution

The fourth proportional to 37,414.50, 51,632.08 and 20,647.50 is: 28,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,414.50 : 51,632.08 = 20,647.50 : x
  2. Step 2: Convert to fraction form
    37,414.50/51,632.08 = 20,647.50/x
  3. Step 3: Cross multiply
    37,414.50x = 51,632.08 × 20,647.50
  4. Step 4: Simplify right side
    37,414.50x = 1,066,073,371.80
  5. Step 5: Solve for x
    x = 1,066,073,371.80/37,414.50
  6. Step 6: Final answer
    x = 28,493.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.