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Finding the Fourth Proportional to 67,906, 93,717.48 and 38,098

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Solution

The fourth proportional to 67,906, 93,717.48 and 38,098 is: 52,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,906 : 93,717.48 = 38,098 : x
  2. Step 2: Convert to fraction form
    67,906/93,717.48 = 38,098/x
  3. Step 3: Cross multiply
    67,906x = 93,717.48 × 38,098
  4. Step 4: Simplify right side
    67,906x = 3,570,448,553.04
  5. Step 5: Solve for x
    x = 3,570,448,553.04/67,906
  6. Step 6: Final answer
    x = 52,579.28

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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.