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Finding the Fourth Proportional to 31,894.03, 47,828.71 and 15,249.61

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Solution

The fourth proportional to 31,894.03, 47,828.71 and 15,249.61 is: 22,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.03 : 47,828.71 = 15,249.61 : x
  2. Step 2: Convert to fraction form
    31,894.03/47,828.71 = 15,249.61/x
  3. Step 3: Cross multiply
    31,894.03x = 47,828.71 × 15,249.61
  4. Step 4: Simplify right side
    31,894.03x = 729,369,174.30
  5. Step 5: Solve for x
    x = 729,369,174.30/31,894.03
  6. Step 6: Final answer
    x = 22,868.52

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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.