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Finding the Fourth Proportional to 31,249.92, 46,871.52 and 7,874.88

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Solution

The fourth proportional to 31,249.92, 46,871.52 and 7,874.88 is: 11,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,249.92 : 46,871.52 = 7,874.88 : x
  2. Step 2: Convert to fraction form
    31,249.92/46,871.52 = 7,874.88/x
  3. Step 3: Cross multiply
    31,249.92x = 46,871.52 × 7,874.88
  4. Step 4: Simplify right side
    31,249.92x = 369,107,595.42
  5. Step 5: Solve for x
    x = 369,107,595.42/31,249.92
  6. Step 6: Final answer
    x = 11,811.47

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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.