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Finding the Fourth Proportional to 89,659.92, 123,731.04 and 53,850.54

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Solution

The fourth proportional to 89,659.92, 123,731.04 and 53,850.54 is: 74,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,659.92 : 123,731.04 = 53,850.54 : x
  2. Step 2: Convert to fraction form
    89,659.92/123,731.04 = 53,850.54/x
  3. Step 3: Cross multiply
    89,659.92x = 123,731.04 × 53,850.54
  4. Step 4: Simplify right side
    89,659.92x = 6,662,983,318.76
  5. Step 5: Solve for x
    x = 6,662,983,318.76/89,659.92
  6. Step 6: Final answer
    x = 74,313.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.