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Finding the Fourth Proportional to 55,189.62, 82,774.62 and 23,617.44

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Solution

The fourth proportional to 55,189.62, 82,774.62 and 23,617.44 is: 35,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,189.62 : 82,774.62 = 23,617.44 : x
  2. Step 2: Convert to fraction form
    55,189.62/82,774.62 = 23,617.44/x
  3. Step 3: Cross multiply
    55,189.62x = 82,774.62 × 23,617.44
  4. Step 4: Simplify right side
    55,189.62x = 1,954,924,621.37
  5. Step 5: Solve for x
    x = 1,954,924,621.37/55,189.62
  6. Step 6: Final answer
    x = 35,421.96

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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.