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Finding the Fourth Proportional to 31,917, 47,883.22 and 10,029

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Solution

The fourth proportional to 31,917, 47,883.22 and 10,029 is: 15,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,917 : 47,883.22 = 10,029 : x
  2. Step 2: Convert to fraction form
    31,917/47,883.22 = 10,029/x
  3. Step 3: Cross multiply
    31,917x = 47,883.22 × 10,029
  4. Step 4: Simplify right side
    31,917x = 480,220,813.38
  5. Step 5: Solve for x
    x = 480,220,813.38/31,917
  6. Step 6: Final answer
    x = 15,045.93

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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.