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Finding the Fourth Proportional to 71,205.78, 106,814.76 and 18,615.21

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Solution

The fourth proportional to 71,205.78, 106,814.76 and 18,615.21 is: 27,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,205.78 : 106,814.76 = 18,615.21 : x
  2. Step 2: Convert to fraction form
    71,205.78/106,814.76 = 18,615.21/x
  3. Step 3: Cross multiply
    71,205.78x = 106,814.76 × 18,615.21
  4. Step 4: Simplify right side
    71,205.78x = 1,988,379,188.50
  5. Step 5: Solve for x
    x = 1,988,379,188.50/71,205.78
  6. Step 6: Final answer
    x = 27,924.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.