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Finding the Fourth Proportional to 31,354.92, 47,027.52 and 9,163.08

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Solution

The fourth proportional to 31,354.92, 47,027.52 and 9,163.08 is: 13,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,354.92 : 47,027.52 = 9,163.08 : x
  2. Step 2: Convert to fraction form
    31,354.92/47,027.52 = 9,163.08/x
  3. Step 3: Cross multiply
    31,354.92x = 47,027.52 × 9,163.08
  4. Step 4: Simplify right side
    31,354.92x = 430,916,927.96
  5. Step 5: Solve for x
    x = 430,916,927.96/31,354.92
  6. Step 6: Final answer
    x = 13,743.20

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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.