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Finding the Fourth Proportional to 123,100.62, 184,650.87 and 29,606.34

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Solution

The fourth proportional to 123,100.62, 184,650.87 and 29,606.34 is: 44,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,100.62 : 184,650.87 = 29,606.34 : x
  2. Step 2: Convert to fraction form
    123,100.62/184,650.87 = 29,606.34/x
  3. Step 3: Cross multiply
    123,100.62x = 184,650.87 × 29,606.34
  4. Step 4: Simplify right side
    123,100.62x = 5,466,836,438.52
  5. Step 5: Solve for x
    x = 5,466,836,438.52/123,100.62
  6. Step 6: Final answer
    x = 44,409.50

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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.