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Finding the Fourth Proportional to 31,883.16, 47,826.44 and 9,694.83

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Solution

The fourth proportional to 31,883.16, 47,826.44 and 9,694.83 is: 14,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883.16 : 47,826.44 = 9,694.83 : x
  2. Step 2: Convert to fraction form
    31,883.16/47,826.44 = 9,694.83/x
  3. Step 3: Cross multiply
    31,883.16x = 47,826.44 × 9,694.83
  4. Step 4: Simplify right side
    31,883.16x = 463,669,372.54
  5. Step 5: Solve for x
    x = 463,669,372.54/31,883.16
  6. Step 6: Final answer
    x = 14,542.77

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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.