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Finding the Fourth Proportional to 123,318.93, 184,978.49 and 29,824.77

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Solution

The fourth proportional to 123,318.93, 184,978.49 and 29,824.77 is: 44,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,318.93 : 184,978.49 = 29,824.77 : x
  2. Step 2: Convert to fraction form
    123,318.93/184,978.49 = 29,824.77/x
  3. Step 3: Cross multiply
    123,318.93x = 184,978.49 × 29,824.77
  4. Step 4: Simplify right side
    123,318.93x = 5,516,940,770.07
  5. Step 5: Solve for x
    x = 5,516,940,770.07/123,318.93
  6. Step 6: Final answer
    x = 44,737.18

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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.