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Finding the Fourth Proportional to 92,546.10, 138,824.82 and 25,991.64

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Solution

The fourth proportional to 92,546.10, 138,824.82 and 25,991.64 is: 38,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,546.10 : 138,824.82 = 25,991.64 : x
  2. Step 2: Convert to fraction form
    92,546.10/138,824.82 = 25,991.64/x
  3. Step 3: Cross multiply
    92,546.10x = 138,824.82 × 25,991.64
  4. Step 4: Simplify right side
    92,546.10x = 3,608,284,744.50
  5. Step 5: Solve for x
    x = 3,608,284,744.50/92,546.10
  6. Step 6: Final answer
    x = 38,989.05

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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.