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Finding the Fourth Proportional to 89,662.92, 123,723.36 and 53,859.30

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Solution

The fourth proportional to 89,662.92, 123,723.36 and 53,859.30 is: 74,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,662.92 : 123,723.36 = 53,859.30 : x
  2. Step 2: Convert to fraction form
    89,662.92/123,723.36 = 53,859.30/x
  3. Step 3: Cross multiply
    89,662.92x = 123,723.36 × 53,859.30
  4. Step 4: Simplify right side
    89,662.92x = 6,663,653,563.25
  5. Step 5: Solve for x
    x = 6,663,653,563.25/89,662.92
  6. Step 6: Final answer
    x = 74,318.94

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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.