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Finding the Fourth Proportional to 29,930.76, 44,901 and 11,217.24

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Solution

The fourth proportional to 29,930.76, 44,901 and 11,217.24 is: 16,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,930.76 : 44,901 = 11,217.24 : x
  2. Step 2: Convert to fraction form
    29,930.76/44,901 = 11,217.24/x
  3. Step 3: Cross multiply
    29,930.76x = 44,901 × 11,217.24
  4. Step 4: Simplify right side
    29,930.76x = 503,665,293.24
  5. Step 5: Solve for x
    x = 503,665,293.24/29,930.76
  6. Step 6: Final answer
    x = 16,827.68

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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.