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Finding the Fourth Proportional to 49,632, 68,497.99 and 29,489.05

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Solution

The fourth proportional to 49,632, 68,497.99 and 29,489.05 is: 40,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,632 : 68,497.99 = 29,489.05 : x
  2. Step 2: Convert to fraction form
    49,632/68,497.99 = 29,489.05/x
  3. Step 3: Cross multiply
    49,632x = 68,497.99 × 29,489.05
  4. Step 4: Simplify right side
    49,632x = 2,019,940,652.01
  5. Step 5: Solve for x
    x = 2,019,940,652.01/49,632
  6. Step 6: Final answer
    x = 40,698.35

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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.