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Finding the Fourth Proportional to 33,792.96, 46,640.04 and 19,654

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Solution

The fourth proportional to 33,792.96, 46,640.04 and 19,654 is: 27,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,792.96 : 46,640.04 = 19,654 : x
  2. Step 2: Convert to fraction form
    33,792.96/46,640.04 = 19,654/x
  3. Step 3: Cross multiply
    33,792.96x = 46,640.04 × 19,654
  4. Step 4: Simplify right side
    33,792.96x = 916,663,346.16
  5. Step 5: Solve for x
    x = 916,663,346.16/33,792.96
  6. Step 6: Final answer
    x = 27,125.87

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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.