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Finding the Fourth Proportional to 123,093.68, 184,624.11 and 34,339.77

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Solution

The fourth proportional to 123,093.68, 184,624.11 and 34,339.77 is: 51,505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,093.68 : 184,624.11 = 34,339.77 : x
  2. Step 2: Convert to fraction form
    123,093.68/184,624.11 = 34,339.77/x
  3. Step 3: Cross multiply
    123,093.68x = 184,624.11 × 34,339.77
  4. Step 4: Simplify right side
    123,093.68x = 6,339,949,473.85
  5. Step 5: Solve for x
    x = 6,339,949,473.85/123,093.68
  6. Step 6: Final answer
    x = 51,505.08

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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.