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Finding the Fourth Proportional to 92,177.58, 138,266.81 and 32,205.80

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Solution

The fourth proportional to 92,177.58, 138,266.81 and 32,205.80 is: 48,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,177.58 : 138,266.81 = 32,205.80 : x
  2. Step 2: Convert to fraction form
    92,177.58/138,266.81 = 32,205.80/x
  3. Step 3: Cross multiply
    92,177.58x = 138,266.81 × 32,205.80
  4. Step 4: Simplify right side
    92,177.58x = 4,452,993,229.50
  5. Step 5: Solve for x
    x = 4,452,993,229.50/92,177.58
  6. Step 6: Final answer
    x = 48,308.85

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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.