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Finding the Fourth Proportional to 89,793.96, 123,916.53 and 49,509.30

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Solution

The fourth proportional to 89,793.96, 123,916.53 and 49,509.30 is: 68,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,793.96 : 123,916.53 = 49,509.30 : x
  2. Step 2: Convert to fraction form
    89,793.96/123,916.53 = 49,509.30/x
  3. Step 3: Cross multiply
    89,793.96x = 123,916.53 × 49,509.30
  4. Step 4: Simplify right side
    89,793.96x = 6,135,020,658.73
  5. Step 5: Solve for x
    x = 6,135,020,658.73/89,793.96
  6. Step 6: Final answer
    x = 68,323.31

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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.