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Finding the Fourth Proportional to 29,696.32, 44,540.16 and 11,224

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Solution

The fourth proportional to 29,696.32, 44,540.16 and 11,224 is: 16,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.32 : 44,540.16 = 11,224 : x
  2. Step 2: Convert to fraction form
    29,696.32/44,540.16 = 11,224/x
  3. Step 3: Cross multiply
    29,696.32x = 44,540.16 × 11,224
  4. Step 4: Simplify right side
    29,696.32x = 499,918,755.84
  5. Step 5: Solve for x
    x = 499,918,755.84/29,696.32
  6. Step 6: Final answer
    x = 16,834.37

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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.