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Finding the Fourth Proportional to 33,992.24, 46,856.76 and 27,693.68

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Solution

The fourth proportional to 33,992.24, 46,856.76 and 27,693.68 is: 38,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,992.24 : 46,856.76 = 27,693.68 : x
  2. Step 2: Convert to fraction form
    33,992.24/46,856.76 = 27,693.68/x
  3. Step 3: Cross multiply
    33,992.24x = 46,856.76 × 27,693.68
  4. Step 4: Simplify right side
    33,992.24x = 1,297,636,117.28
  5. Step 5: Solve for x
    x = 1,297,636,117.28/33,992.24
  6. Step 6: Final answer
    x = 38,174.48

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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.