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Finding the Fourth Proportional to 31,129.92, 46,671.84 and 10,347.84

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Solution

The fourth proportional to 31,129.92, 46,671.84 and 10,347.84 is: 15,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.92 : 46,671.84 = 10,347.84 : x
  2. Step 2: Convert to fraction form
    31,129.92/46,671.84 = 10,347.84/x
  3. Step 3: Cross multiply
    31,129.92x = 46,671.84 × 10,347.84
  4. Step 4: Simplify right side
    31,129.92x = 482,952,732.83
  5. Step 5: Solve for x
    x = 482,952,732.83/31,129.92
  6. Step 6: Final answer
    x = 15,514.10

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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.