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Finding the Fourth Proportional to 35,843.82, 53,732.14 and 12,134.78

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Solution

The fourth proportional to 35,843.82, 53,732.14 and 12,134.78 is: 18,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,843.82 : 53,732.14 = 12,134.78 : x
  2. Step 2: Convert to fraction form
    35,843.82/53,732.14 = 12,134.78/x
  3. Step 3: Cross multiply
    35,843.82x = 53,732.14 × 12,134.78
  4. Step 4: Simplify right side
    35,843.82x = 652,027,697.83
  5. Step 5: Solve for x
    x = 652,027,697.83/35,843.82
  6. Step 6: Final answer
    x = 18,190.80

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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.