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Finding the Fourth Proportional to 109,793.65, 164,565.03 and 49,867.83

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Solution

The fourth proportional to 109,793.65, 164,565.03 and 49,867.83 is: 74,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,793.65 : 164,565.03 = 49,867.83 : x
  2. Step 2: Convert to fraction form
    109,793.65/164,565.03 = 49,867.83/x
  3. Step 3: Cross multiply
    109,793.65x = 164,565.03 × 49,867.83
  4. Step 4: Simplify right side
    109,793.65x = 8,206,500,939.98
  5. Step 5: Solve for x
    x = 8,206,500,939.98/109,793.65
  6. Step 6: Final answer
    x = 74,744.77

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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.