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Finding the Fourth Proportional to 69,894.82, 104,842.48 and 27,772.17

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Solution

The fourth proportional to 69,894.82, 104,842.48 and 27,772.17 is: 41,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,894.82 : 104,842.48 = 27,772.17 : x
  2. Step 2: Convert to fraction form
    69,894.82/104,842.48 = 27,772.17/x
  3. Step 3: Cross multiply
    69,894.82x = 104,842.48 × 27,772.17
  4. Step 4: Simplify right side
    69,894.82x = 2,911,703,177.78
  5. Step 5: Solve for x
    x = 2,911,703,177.78/69,894.82
  6. Step 6: Final answer
    x = 41,658.35

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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.