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Finding the Fourth Proportional to 34,414.03, 47,441.09 and 24,324.67

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Solution

The fourth proportional to 34,414.03, 47,441.09 and 24,324.67 is: 33,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.03 : 47,441.09 = 24,324.67 : x
  2. Step 2: Convert to fraction form
    34,414.03/47,441.09 = 24,324.67/x
  3. Step 3: Cross multiply
    34,414.03x = 47,441.09 × 24,324.67
  4. Step 4: Simplify right side
    34,414.03x = 1,153,988,499.86
  5. Step 5: Solve for x
    x = 1,153,988,499.86/34,414.03
  6. Step 6: Final answer
    x = 33,532.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.