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Finding the Fourth Proportional to 41,829, 62,753.22 and 14,127

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Solution

The fourth proportional to 41,829, 62,753.22 and 14,127 is: 21,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,829 : 62,753.22 = 14,127 : x
  2. Step 2: Convert to fraction form
    41,829/62,753.22 = 14,127/x
  3. Step 3: Cross multiply
    41,829x = 62,753.22 × 14,127
  4. Step 4: Simplify right side
    41,829x = 886,514,738.94
  5. Step 5: Solve for x
    x = 886,514,738.94/41,829
  6. Step 6: Final answer
    x = 21,193.78

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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.