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Finding the Fourth Proportional to 89,782.08, 123,893.92 and 49,497.54

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Solution

The fourth proportional to 89,782.08, 123,893.92 and 49,497.54 is: 68,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,782.08 : 123,893.92 = 49,497.54 : x
  2. Step 2: Convert to fraction form
    89,782.08/123,893.92 = 49,497.54/x
  3. Step 3: Cross multiply
    89,782.08x = 123,893.92 × 49,497.54
  4. Step 4: Simplify right side
    89,782.08x = 6,132,444,260.96
  5. Step 5: Solve for x
    x = 6,132,444,260.96/89,782.08
  6. Step 6: Final answer
    x = 68,303.66

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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.