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Finding the Fourth Proportional to 36,093.82, 54,119.94 and 13,904.30

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Solution

The fourth proportional to 36,093.82, 54,119.94 and 13,904.30 is: 20,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,093.82 : 54,119.94 = 13,904.30 : x
  2. Step 2: Convert to fraction form
    36,093.82/54,119.94 = 13,904.30/x
  3. Step 3: Cross multiply
    36,093.82x = 54,119.94 × 13,904.30
  4. Step 4: Simplify right side
    36,093.82x = 752,499,881.74
  5. Step 5: Solve for x
    x = 752,499,881.74/36,093.82
  6. Step 6: Final answer
    x = 20,848.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.