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Finding the Fourth Proportional to 31,310.52, 46,961.22 and 9,117.94

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Solution

The fourth proportional to 31,310.52, 46,961.22 and 9,117.94 is: 13,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,310.52 : 46,961.22 = 9,117.94 : x
  2. Step 2: Convert to fraction form
    31,310.52/46,961.22 = 9,117.94/x
  3. Step 3: Cross multiply
    31,310.52x = 46,961.22 × 9,117.94
  4. Step 4: Simplify right side
    31,310.52x = 428,189,433.41
  5. Step 5: Solve for x
    x = 428,189,433.41/31,310.52
  6. Step 6: Final answer
    x = 13,675.58

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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.