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Finding the Fourth Proportional to 71,497.38, 107,205 and 27,095.82

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Solution

The fourth proportional to 71,497.38, 107,205 and 27,095.82 is: 40,628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,497.38 : 107,205 = 27,095.82 : x
  2. Step 2: Convert to fraction form
    71,497.38/107,205 = 27,095.82/x
  3. Step 3: Cross multiply
    71,497.38x = 107,205 × 27,095.82
  4. Step 4: Simplify right side
    71,497.38x = 2,904,807,383.10
  5. Step 5: Solve for x
    x = 2,904,807,383.10/71,497.38
  6. Step 6: Final answer
    x = 40,628.17

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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.