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Finding the Fourth Proportional to 29,829.43, 44,743.11 and 7,643

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Solution

The fourth proportional to 29,829.43, 44,743.11 and 7,643 is: 11,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829.43 : 44,743.11 = 7,643 : x
  2. Step 2: Convert to fraction form
    29,829.43/44,743.11 = 7,643/x
  3. Step 3: Cross multiply
    29,829.43x = 44,743.11 × 7,643
  4. Step 4: Simplify right side
    29,829.43x = 341,971,589.73
  5. Step 5: Solve for x
    x = 341,971,589.73/29,829.43
  6. Step 6: Final answer
    x = 11,464.23

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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.