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Finding the Fourth Proportional to 165,977.64, 248,967.99 and 47,648.97

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Solution

The fourth proportional to 165,977.64, 248,967.99 and 47,648.97 is: 71,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,977.64 : 248,967.99 = 47,648.97 : x
  2. Step 2: Convert to fraction form
    165,977.64/248,967.99 = 47,648.97/x
  3. Step 3: Cross multiply
    165,977.64x = 248,967.99 × 47,648.97
  4. Step 4: Simplify right side
    165,977.64x = 11,863,068,286.47
  5. Step 5: Solve for x
    x = 11,863,068,286.47/165,977.64
  6. Step 6: Final answer
    x = 71,473.89

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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.