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Finding the Fourth Proportional to 61,408.30, 92,112.45 and 33,414.70

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Solution

The fourth proportional to 61,408.30, 92,112.45 and 33,414.70 is: 50,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,408.30 : 92,112.45 = 33,414.70 : x
  2. Step 2: Convert to fraction form
    61,408.30/92,112.45 = 33,414.70/x
  3. Step 3: Cross multiply
    61,408.30x = 92,112.45 × 33,414.70
  4. Step 4: Simplify right side
    61,408.30x = 3,077,909,883.02
  5. Step 5: Solve for x
    x = 3,077,909,883.02/61,408.30
  6. Step 6: Final answer
    x = 50,122.05

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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.