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Finding the Fourth Proportional to 123,319.31, 184,979.05 and 29,825.15

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Solution

The fourth proportional to 123,319.31, 184,979.05 and 29,825.15 is: 44,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,319.31 : 184,979.05 = 29,825.15 : x
  2. Step 2: Convert to fraction form
    123,319.31/184,979.05 = 29,825.15/x
  3. Step 3: Cross multiply
    123,319.31x = 184,979.05 × 29,825.15
  4. Step 4: Simplify right side
    123,319.31x = 5,517,026,913.65
  5. Step 5: Solve for x
    x = 5,517,026,913.65/123,319.31
  6. Step 6: Final answer
    x = 44,737.74

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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.