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Finding the Fourth Proportional to 165,991.62, 248,949.51 and 47,662.02

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Solution

The fourth proportional to 165,991.62, 248,949.51 and 47,662.02 is: 71,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,991.62 : 248,949.51 = 47,662.02 : x
  2. Step 2: Convert to fraction form
    165,991.62/248,949.51 = 47,662.02/x
  3. Step 3: Cross multiply
    165,991.62x = 248,949.51 × 47,662.02
  4. Step 4: Simplify right side
    165,991.62x = 11,865,436,524.61
  5. Step 5: Solve for x
    x = 11,865,436,524.61/165,991.62
  6. Step 6: Final answer
    x = 71,482.14

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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.