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Finding the Fourth Proportional to 36,967.56, 51,015.12 and 20,200.56

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Solution

The fourth proportional to 36,967.56, 51,015.12 and 20,200.56 is: 27,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,967.56 : 51,015.12 = 20,200.56 : x
  2. Step 2: Convert to fraction form
    36,967.56/51,015.12 = 20,200.56/x
  3. Step 3: Cross multiply
    36,967.56x = 51,015.12 × 20,200.56
  4. Step 4: Simplify right side
    36,967.56x = 1,030,533,992.47
  5. Step 5: Solve for x
    x = 1,030,533,992.47/36,967.56
  6. Step 6: Final answer
    x = 27,876.71

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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.