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Finding the Fourth Proportional to 82,123.67, 123,184.60 and 32,168.34

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Solution

The fourth proportional to 82,123.67, 123,184.60 and 32,168.34 is: 48,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,123.67 : 123,184.60 = 32,168.34 : x
  2. Step 2: Convert to fraction form
    82,123.67/123,184.60 = 32,168.34/x
  3. Step 3: Cross multiply
    82,123.67x = 123,184.60 × 32,168.34
  4. Step 4: Simplify right side
    82,123.67x = 3,962,644,015.14
  5. Step 5: Solve for x
    x = 3,962,644,015.14/82,123.67
  6. Step 6: Final answer
    x = 48,252.15

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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.