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Finding the Fourth Proportional to 36,073.80, 49,784.16 and 20,158.32

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Solution

The fourth proportional to 36,073.80, 49,784.16 and 20,158.32 is: 27,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,073.80 : 49,784.16 = 20,158.32 : x
  2. Step 2: Convert to fraction form
    36,073.80/49,784.16 = 20,158.32/x
  3. Step 3: Cross multiply
    36,073.80x = 49,784.16 × 20,158.32
  4. Step 4: Simplify right side
    36,073.80x = 1,003,565,028.21
  5. Step 5: Solve for x
    x = 1,003,565,028.21/36,073.80
  6. Step 6: Final answer
    x = 27,819.78

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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.