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Finding the Fourth Proportional to 73,971, 102,105.90 and 44,163

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Solution

The fourth proportional to 73,971, 102,105.90 and 44,163 is: 60,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,971 : 102,105.90 = 44,163 : x
  2. Step 2: Convert to fraction form
    73,971/102,105.90 = 44,163/x
  3. Step 3: Cross multiply
    73,971x = 102,105.90 × 44,163
  4. Step 4: Simplify right side
    73,971x = 4,509,302,861.70
  5. Step 5: Solve for x
    x = 4,509,302,861.70/73,971
  6. Step 6: Final answer
    x = 60,960.42

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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.