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Finding the Fourth Proportional to 27,408.41, 41,109.19 and 7,688.50

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Solution

The fourth proportional to 27,408.41, 41,109.19 and 7,688.50 is: 11,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.41 : 41,109.19 = 7,688.50 : x
  2. Step 2: Convert to fraction form
    27,408.41/41,109.19 = 7,688.50/x
  3. Step 3: Cross multiply
    27,408.41x = 41,109.19 × 7,688.50
  4. Step 4: Simplify right side
    27,408.41x = 316,068,082.73
  5. Step 5: Solve for x
    x = 316,068,082.73/27,408.41
  6. Step 6: Final answer
    x = 11,531.79

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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.