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Finding the Fourth Proportional to 92,591.34, 138,858.26 and 33,419.30

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Solution

The fourth proportional to 92,591.34, 138,858.26 and 33,419.30 is: 50,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,591.34 : 138,858.26 = 33,419.30 : x
  2. Step 2: Convert to fraction form
    92,591.34/138,858.26 = 33,419.30/x
  3. Step 3: Cross multiply
    92,591.34x = 138,858.26 × 33,419.30
  4. Step 4: Simplify right side
    92,591.34x = 4,640,545,848.42
  5. Step 5: Solve for x
    x = 4,640,545,848.42/92,591.34
  6. Step 6: Final answer
    x = 50,118.57

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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.