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Finding the Fourth Proportional to 165,927, 248,927.34 and 47,589.24

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Solution

The fourth proportional to 165,927, 248,927.34 and 47,589.24 is: 71,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,927 : 248,927.34 = 47,589.24 : x
  2. Step 2: Convert to fraction form
    165,927/248,927.34 = 47,589.24/x
  3. Step 3: Cross multiply
    165,927x = 248,927.34 × 47,589.24
  4. Step 4: Simplify right side
    165,927x = 11,846,262,925.82
  5. Step 5: Solve for x
    x = 11,846,262,925.82/165,927
  6. Step 6: Final answer
    x = 71,394.43

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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.