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Finding the Fourth Proportional to 30,095, 41,531.14 and 16,847

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Solution

The fourth proportional to 30,095, 41,531.14 and 16,847 is: 23,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,095 : 41,531.14 = 16,847 : x
  2. Step 2: Convert to fraction form
    30,095/41,531.14 = 16,847/x
  3. Step 3: Cross multiply
    30,095x = 41,531.14 × 16,847
  4. Step 4: Simplify right side
    30,095x = 699,675,115.58
  5. Step 5: Solve for x
    x = 699,675,115.58/30,095
  6. Step 6: Final answer
    x = 23,248.88

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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.