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Finding the Fourth Proportional to 29,406, 44,109.24 and 10,938

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Solution

The fourth proportional to 29,406, 44,109.24 and 10,938 is: 16,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406 : 44,109.24 = 10,938 : x
  2. Step 2: Convert to fraction form
    29,406/44,109.24 = 10,938/x
  3. Step 3: Cross multiply
    29,406x = 44,109.24 × 10,938
  4. Step 4: Simplify right side
    29,406x = 482,466,867.12
  5. Step 5: Solve for x
    x = 482,466,867.12/29,406
  6. Step 6: Final answer
    x = 16,407.09

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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.