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Finding the Fourth Proportional to 41,894.10, 62,841.16 and 12,311.93

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Solution

The fourth proportional to 41,894.10, 62,841.16 and 12,311.93 is: 18,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,894.10 : 62,841.16 = 12,311.93 : x
  2. Step 2: Convert to fraction form
    41,894.10/62,841.16 = 12,311.93/x
  3. Step 3: Cross multiply
    41,894.10x = 62,841.16 × 12,311.93
  4. Step 4: Simplify right side
    41,894.10x = 773,695,901.48
  5. Step 5: Solve for x
    x = 773,695,901.48/41,894.10
  6. Step 6: Final answer
    x = 18,467.90

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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.