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Finding the Fourth Proportional to 82,433.60, 123,682.80 and 32,505.20

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Solution

The fourth proportional to 82,433.60, 123,682.80 and 32,505.20 is: 48,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,433.60 : 123,682.80 = 32,505.20 : x
  2. Step 2: Convert to fraction form
    82,433.60/123,682.80 = 32,505.20/x
  3. Step 3: Cross multiply
    82,433.60x = 123,682.80 × 32,505.20
  4. Step 4: Simplify right side
    82,433.60x = 4,020,334,150.56
  5. Step 5: Solve for x
    x = 4,020,334,150.56/82,433.60
  6. Step 6: Final answer
    x = 48,770.58

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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.