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Finding the Fourth Proportional to 67,727.17, 101,653.13 and 34,471

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Solution

The fourth proportional to 67,727.17, 101,653.13 and 34,471 is: 51,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,727.17 : 101,653.13 = 34,471 : x
  2. Step 2: Convert to fraction form
    67,727.17/101,653.13 = 34,471/x
  3. Step 3: Cross multiply
    67,727.17x = 101,653.13 × 34,471
  4. Step 4: Simplify right side
    67,727.17x = 3,504,085,044.23
  5. Step 5: Solve for x
    x = 3,504,085,044.23/67,727.17
  6. Step 6: Final answer
    x = 51,738.25

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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.