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Finding the Fourth Proportional to 27,630, 41,451.12 and 10,099.44

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Solution

The fourth proportional to 27,630, 41,451.12 and 10,099.44 is: 15,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,630 : 41,451.12 = 10,099.44 : x
  2. Step 2: Convert to fraction form
    27,630/41,451.12 = 10,099.44/x
  3. Step 3: Cross multiply
    27,630x = 41,451.12 × 10,099.44
  4. Step 4: Simplify right side
    27,630x = 418,633,099.37
  5. Step 5: Solve for x
    x = 418,633,099.37/27,630
  6. Step 6: Final answer
    x = 15,151.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.