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Finding the Fourth Proportional to 67,908.92, 101,963.34 and 37,981.78

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Solution

The fourth proportional to 67,908.92, 101,963.34 and 37,981.78 is: 57,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,908.92 : 101,963.34 = 37,981.78 : x
  2. Step 2: Convert to fraction form
    67,908.92/101,963.34 = 37,981.78/x
  3. Step 3: Cross multiply
    67,908.92x = 101,963.34 × 37,981.78
  4. Step 4: Simplify right side
    67,908.92x = 3,872,748,893.04
  5. Step 5: Solve for x
    x = 3,872,748,893.04/67,908.92
  6. Step 6: Final answer
    x = 57,028.58

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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.