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Finding the Fourth Proportional to 40,006.50, 60,046.14 and 21,302.22

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Solution

The fourth proportional to 40,006.50, 60,046.14 and 21,302.22 is: 31,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,006.50 : 60,046.14 = 21,302.22 : x
  2. Step 2: Convert to fraction form
    40,006.50/60,046.14 = 21,302.22/x
  3. Step 3: Cross multiply
    40,006.50x = 60,046.14 × 21,302.22
  4. Step 4: Simplify right side
    40,006.50x = 1,279,116,084.43
  5. Step 5: Solve for x
    x = 1,279,116,084.43/40,006.50
  6. Step 6: Final answer
    x = 31,972.71

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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.