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Finding the Fourth Proportional to 30,819.34, 46,235.98 and 11,098

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Solution

The fourth proportional to 30,819.34, 46,235.98 and 11,098 is: 16,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.34 : 46,235.98 = 11,098 : x
  2. Step 2: Convert to fraction form
    30,819.34/46,235.98 = 11,098/x
  3. Step 3: Cross multiply
    30,819.34x = 46,235.98 × 11,098
  4. Step 4: Simplify right side
    30,819.34x = 513,126,906.04
  5. Step 5: Solve for x
    x = 513,126,906.04/30,819.34
  6. Step 6: Final answer
    x = 16,649.51

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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.