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Finding the Fourth Proportional to 31,293.91, 46,936.54 and 10,514.71

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Solution

The fourth proportional to 31,293.91, 46,936.54 and 10,514.71 is: 15,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,293.91 : 46,936.54 = 10,514.71 : x
  2. Step 2: Convert to fraction form
    31,293.91/46,936.54 = 10,514.71/x
  3. Step 3: Cross multiply
    31,293.91x = 46,936.54 × 10,514.71
  4. Step 4: Simplify right side
    31,293.91x = 493,524,106.50
  5. Step 5: Solve for x
    x = 493,524,106.50/31,293.91
  6. Step 6: Final answer
    x = 15,770.61

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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.