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Finding the Fourth Proportional to 71,761.40, 107,629.14 and 27,378.26

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Solution

The fourth proportional to 71,761.40, 107,629.14 and 27,378.26 is: 41,062.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,761.40 : 107,629.14 = 27,378.26 : x
  2. Step 2: Convert to fraction form
    71,761.40/107,629.14 = 27,378.26/x
  3. Step 3: Cross multiply
    71,761.40x = 107,629.14 × 27,378.26
  4. Step 4: Simplify right side
    71,761.40x = 2,946,698,578.50
  5. Step 5: Solve for x
    x = 2,946,698,578.50/71,761.40
  6. Step 6: Final answer
    x = 41,062.45

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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.