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Finding the Fourth Proportional to 35,755.87, 53,633.84 and 18,238

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Solution

The fourth proportional to 35,755.87, 53,633.84 and 18,238 is: 27,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,755.87 : 53,633.84 = 18,238 : x
  2. Step 2: Convert to fraction form
    35,755.87/53,633.84 = 18,238/x
  3. Step 3: Cross multiply
    35,755.87x = 53,633.84 × 18,238
  4. Step 4: Simplify right side
    35,755.87x = 978,173,973.92
  5. Step 5: Solve for x
    x = 978,173,973.92/35,755.87
  6. Step 6: Final answer
    x = 27,357.02

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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.