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Finding the Fourth Proportional to 99,658.05, 149,408.58 and 49,712.43

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Solution

The fourth proportional to 99,658.05, 149,408.58 and 49,712.43 is: 74,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,658.05 : 149,408.58 = 49,712.43 : x
  2. Step 2: Convert to fraction form
    99,658.05/149,408.58 = 49,712.43/x
  3. Step 3: Cross multiply
    99,658.05x = 149,408.58 × 49,712.43
  4. Step 4: Simplify right side
    99,658.05x = 7,427,464,321.35
  5. Step 5: Solve for x
    x = 7,427,464,321.35/99,658.05
  6. Step 6: Final answer
    x = 74,529.50

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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.