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Finding the Fourth Proportional to 36,153.82, 54,231.44 and 9,859.24

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Solution

The fourth proportional to 36,153.82, 54,231.44 and 9,859.24 is: 14,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,153.82 : 54,231.44 = 9,859.24 : x
  2. Step 2: Convert to fraction form
    36,153.82/54,231.44 = 9,859.24/x
  3. Step 3: Cross multiply
    36,153.82x = 54,231.44 × 9,859.24
  4. Step 4: Simplify right side
    36,153.82x = 534,680,782.51
  5. Step 5: Solve for x
    x = 534,680,782.51/36,153.82
  6. Step 6: Final answer
    x = 14,789.05

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