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Finding the Fourth Proportional to 165,980.64, 248,972.49 and 47,651.97

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Solution

The fourth proportional to 165,980.64, 248,972.49 and 47,651.97 is: 71,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,980.64 : 248,972.49 = 47,651.97 : x
  2. Step 2: Convert to fraction form
    165,980.64/248,972.49 = 47,651.97/x
  3. Step 3: Cross multiply
    165,980.64x = 248,972.49 × 47,651.97
  4. Step 4: Simplify right side
    165,980.64x = 11,864,029,624.31
  5. Step 5: Solve for x
    x = 11,864,029,624.31/165,980.64
  6. Step 6: Final answer
    x = 71,478.39

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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.