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Finding the Fourth Proportional to 92,212.30, 138,318.45 and 33,114.70

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Solution

The fourth proportional to 92,212.30, 138,318.45 and 33,114.70 is: 49,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,212.30 : 138,318.45 = 33,114.70 : x
  2. Step 2: Convert to fraction form
    92,212.30/138,318.45 = 33,114.70/x
  3. Step 3: Cross multiply
    92,212.30x = 138,318.45 × 33,114.70
  4. Step 4: Simplify right side
    92,212.30x = 4,580,373,976.22
  5. Step 5: Solve for x
    x = 4,580,373,976.22/92,212.30
  6. Step 6: Final answer
    x = 49,672.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.