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Finding the Fourth Proportional to 74,536.62, 102,859.11 and 41,002.62

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Solution

The fourth proportional to 74,536.62, 102,859.11 and 41,002.62 is: 56,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,536.62 : 102,859.11 = 41,002.62 : x
  2. Step 2: Convert to fraction form
    74,536.62/102,859.11 = 41,002.62/x
  3. Step 3: Cross multiply
    74,536.62x = 102,859.11 × 41,002.62
  4. Step 4: Simplify right side
    74,536.62x = 4,217,493,000.87
  5. Step 5: Solve for x
    x = 4,217,493,000.87/74,536.62
  6. Step 6: Final answer
    x = 56,582.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.