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Finding the Fourth Proportional to 31,167.91, 46,751.87 and 7,794.35

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Solution

The fourth proportional to 31,167.91, 46,751.87 and 7,794.35 is: 11,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,167.91 : 46,751.87 = 7,794.35 : x
  2. Step 2: Convert to fraction form
    31,167.91/46,751.87 = 7,794.35/x
  3. Step 3: Cross multiply
    31,167.91x = 46,751.87 × 7,794.35
  4. Step 4: Simplify right side
    31,167.91x = 364,400,437.93
  5. Step 5: Solve for x
    x = 364,400,437.93/31,167.91
  6. Step 6: Final answer
    x = 11,691.53

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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.