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Finding the Fourth Proportional to 29,828.43, 44,741.61 and 7,642

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Solution

The fourth proportional to 29,828.43, 44,741.61 and 7,642 is: 11,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828.43 : 44,741.61 = 7,642 : x
  2. Step 2: Convert to fraction form
    29,828.43/44,741.61 = 7,642/x
  3. Step 3: Cross multiply
    29,828.43x = 44,741.61 × 7,642
  4. Step 4: Simplify right side
    29,828.43x = 341,915,383.62
  5. Step 5: Solve for x
    x = 341,915,383.62/29,828.43
  6. Step 6: Final answer
    x = 11,462.73

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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.