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Finding the Fourth Proportional to 62,864.36, 86,754.48 and 34,186

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Solution

The fourth proportional to 62,864.36, 86,754.48 and 34,186 is: 47,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,864.36 : 86,754.48 = 34,186 : x
  2. Step 2: Convert to fraction form
    62,864.36/86,754.48 = 34,186/x
  3. Step 3: Cross multiply
    62,864.36x = 86,754.48 × 34,186
  4. Step 4: Simplify right side
    62,864.36x = 2,965,788,653.28
  5. Step 5: Solve for x
    x = 2,965,788,653.28/62,864.36
  6. Step 6: Final answer
    x = 47,177.58

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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.