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Finding the Fourth Proportional to 123,093.84, 184,650.29 and 47,228.70

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Solution

The fourth proportional to 123,093.84, 184,650.29 and 47,228.70 is: 70,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,093.84 : 184,650.29 = 47,228.70 : x
  2. Step 2: Convert to fraction form
    123,093.84/184,650.29 = 47,228.70/x
  3. Step 3: Cross multiply
    123,093.84x = 184,650.29 × 47,228.70
  4. Step 4: Simplify right side
    123,093.84x = 8,720,793,269.39
  5. Step 5: Solve for x
    x = 8,720,793,269.39/123,093.84
  6. Step 6: Final answer
    x = 70,846.71

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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.