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Finding the Fourth Proportional to 70,874, 106,357.08 and 27,098

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Solution

The fourth proportional to 70,874, 106,357.08 and 27,098 is: 40,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,874 : 106,357.08 = 27,098 : x
  2. Step 2: Convert to fraction form
    70,874/106,357.08 = 27,098/x
  3. Step 3: Cross multiply
    70,874x = 106,357.08 × 27,098
  4. Step 4: Simplify right side
    70,874x = 2,882,064,153.84
  5. Step 5: Solve for x
    x = 2,882,064,153.84/70,874
  6. Step 6: Final answer
    x = 40,664.62

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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.