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Finding the Fourth Proportional to 36,933.32, 50,967.78 and 20,166.20

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Solution

The fourth proportional to 36,933.32, 50,967.78 and 20,166.20 is: 27,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,933.32 : 50,967.78 = 20,166.20 : x
  2. Step 2: Convert to fraction form
    36,933.32/50,967.78 = 20,166.20/x
  3. Step 3: Cross multiply
    36,933.32x = 50,967.78 × 20,166.20
  4. Step 4: Simplify right side
    36,933.32x = 1,027,826,445.04
  5. Step 5: Solve for x
    x = 1,027,826,445.04/36,933.32
  6. Step 6: Final answer
    x = 27,829.25

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