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Finding the Fourth Proportional to 31,046.54, 46,570.24 and 8,859.91

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Solution

The fourth proportional to 31,046.54, 46,570.24 and 8,859.91 is: 13,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.54 : 46,570.24 = 8,859.91 : x
  2. Step 2: Convert to fraction form
    31,046.54/46,570.24 = 8,859.91/x
  3. Step 3: Cross multiply
    31,046.54x = 46,570.24 × 8,859.91
  4. Step 4: Simplify right side
    31,046.54x = 412,608,135.08
  5. Step 5: Solve for x
    x = 412,608,135.08/31,046.54
  6. Step 6: Final answer
    x = 13,289.99

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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.