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Finding the Fourth Proportional to 71,351.76, 106,935 and 29,182.80

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Solution

The fourth proportional to 71,351.76, 106,935 and 29,182.80 is: 43,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,351.76 : 106,935 = 29,182.80 : x
  2. Step 2: Convert to fraction form
    71,351.76/106,935 = 29,182.80/x
  3. Step 3: Cross multiply
    71,351.76x = 106,935 × 29,182.80
  4. Step 4: Simplify right side
    71,351.76x = 3,120,662,718
  5. Step 5: Solve for x
    x = 3,120,662,718/71,351.76
  6. Step 6: Final answer
    x = 43,736.31

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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.