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Finding the Fourth Proportional to 36,947.88, 50,985.72 and 20,180.88

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Solution

The fourth proportional to 36,947.88, 50,985.72 and 20,180.88 is: 27,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,947.88 : 50,985.72 = 20,180.88 : x
  2. Step 2: Convert to fraction form
    36,947.88/50,985.72 = 20,180.88/x
  3. Step 3: Cross multiply
    36,947.88x = 50,985.72 × 20,180.88
  4. Step 4: Simplify right side
    36,947.88x = 1,028,936,697.03
  5. Step 5: Solve for x
    x = 1,028,936,697.03/36,947.88
  6. Step 6: Final answer
    x = 27,848.33

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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.