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Finding the Fourth Proportional to 82,367.46, 123,504.35 and 32,420.48

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Solution

The fourth proportional to 82,367.46, 123,504.35 and 32,420.48 is: 48,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,367.46 : 123,504.35 = 32,420.48 : x
  2. Step 2: Convert to fraction form
    82,367.46/123,504.35 = 32,420.48/x
  3. Step 3: Cross multiply
    82,367.46x = 123,504.35 × 32,420.48
  4. Step 4: Simplify right side
    82,367.46x = 4,004,069,772.62
  5. Step 5: Solve for x
    x = 4,004,069,772.62/82,367.46
  6. Step 6: Final answer
    x = 48,612.28

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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.