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Finding the Fourth Proportional to 99,843.14, 149,808.47 and 52,447.24

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Solution

The fourth proportional to 99,843.14, 149,808.47 and 52,447.24 is: 78,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,843.14 : 149,808.47 = 52,447.24 : x
  2. Step 2: Convert to fraction form
    99,843.14/149,808.47 = 52,447.24/x
  3. Step 3: Cross multiply
    99,843.14x = 149,808.47 × 52,447.24
  4. Step 4: Simplify right side
    99,843.14x = 7,857,040,143.37
  5. Step 5: Solve for x
    x = 7,857,040,143.37/99,843.14
  6. Step 6: Final answer
    x = 78,693.84

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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.