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Finding the Fourth Proportional to 33,706.60, 46,524.36 and 19,564

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Solution

The fourth proportional to 33,706.60, 46,524.36 and 19,564 is: 27,003.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706.60 : 46,524.36 = 19,564 : x
  2. Step 2: Convert to fraction form
    33,706.60/46,524.36 = 19,564/x
  3. Step 3: Cross multiply
    33,706.60x = 46,524.36 × 19,564
  4. Step 4: Simplify right side
    33,706.60x = 910,202,579.04
  5. Step 5: Solve for x
    x = 910,202,579.04/33,706.60
  6. Step 6: Final answer
    x = 27,003.69

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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.