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Finding the Fourth Proportional to 71,893.44, 107,844.75 and 21,975.30

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Solution

The fourth proportional to 71,893.44, 107,844.75 and 21,975.30 is: 32,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,893.44 : 107,844.75 = 21,975.30 : x
  2. Step 2: Convert to fraction form
    71,893.44/107,844.75 = 21,975.30/x
  3. Step 3: Cross multiply
    71,893.44x = 107,844.75 × 21,975.30
  4. Step 4: Simplify right side
    71,893.44x = 2,369,920,734.68
  5. Step 5: Solve for x
    x = 2,369,920,734.68/71,893.44
  6. Step 6: Final answer
    x = 32,964.35

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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.