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Finding the Fourth Proportional to 71,094.42, 106,498.56 and 33,690.57

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Solution

The fourth proportional to 71,094.42, 106,498.56 and 33,690.57 is: 50,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,094.42 : 106,498.56 = 33,690.57 : x
  2. Step 2: Convert to fraction form
    71,094.42/106,498.56 = 33,690.57/x
  3. Step 3: Cross multiply
    71,094.42x = 106,498.56 × 33,690.57
  4. Step 4: Simplify right side
    71,094.42x = 3,587,997,190.58
  5. Step 5: Solve for x
    x = 3,587,997,190.58/71,094.42
  6. Step 6: Final answer
    x = 50,468.06

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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.