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Finding the Fourth Proportional to 29,832, 44,748.16 and 7,944

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Solution

The fourth proportional to 29,832, 44,748.16 and 7,944 is: 11,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832 : 44,748.16 = 7,944 : x
  2. Step 2: Convert to fraction form
    29,832/44,748.16 = 7,944/x
  3. Step 3: Cross multiply
    29,832x = 44,748.16 × 7,944
  4. Step 4: Simplify right side
    29,832x = 355,479,383.04
  5. Step 5: Solve for x
    x = 355,479,383.04/29,832
  6. Step 6: Final answer
    x = 11,916.04

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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.