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Finding the Fourth Proportional to 71,310.68, 106,968.50 and 33,851.45

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Solution

The fourth proportional to 71,310.68, 106,968.50 and 33,851.45 is: 50,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,310.68 : 106,968.50 = 33,851.45 : x
  2. Step 2: Convert to fraction form
    71,310.68/106,968.50 = 33,851.45/x
  3. Step 3: Cross multiply
    71,310.68x = 106,968.50 × 33,851.45
  4. Step 4: Simplify right side
    71,310.68x = 3,621,039,054.43
  5. Step 5: Solve for x
    x = 3,621,039,054.43/71,310.68
  6. Step 6: Final answer
    x = 50,778.36

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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.