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Finding the Fourth Proportional to 71,564.94, 107,361.32 and 27,222.89

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Solution

The fourth proportional to 71,564.94, 107,361.32 and 27,222.89 is: 40,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,564.94 : 107,361.32 = 27,222.89 : x
  2. Step 2: Convert to fraction form
    71,564.94/107,361.32 = 27,222.89/x
  3. Step 3: Cross multiply
    71,564.94x = 107,361.32 × 27,222.89
  4. Step 4: Simplify right side
    71,564.94x = 2,922,684,731.69
  5. Step 5: Solve for x
    x = 2,922,684,731.69/71,564.94
  6. Step 6: Final answer
    x = 40,839.62

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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.