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Finding the Fourth Proportional to 29,355, 44,023.26 and 9,628.97

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Solution

The fourth proportional to 29,355, 44,023.26 and 9,628.97 is: 14,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,355 : 44,023.26 = 9,628.97 : x
  2. Step 2: Convert to fraction form
    29,355/44,023.26 = 9,628.97/x
  3. Step 3: Cross multiply
    29,355x = 44,023.26 × 9,628.97
  4. Step 4: Simplify right side
    29,355x = 423,898,429.73
  5. Step 5: Solve for x
    x = 423,898,429.73/29,355
  6. Step 6: Final answer
    x = 14,440.42

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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.