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Finding the Fourth Proportional to 82,108.80, 123,166.85 and 32,184.45

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Solution

The fourth proportional to 82,108.80, 123,166.85 and 32,184.45 is: 48,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,108.80 : 123,166.85 = 32,184.45 : x
  2. Step 2: Convert to fraction form
    82,108.80/123,166.85 = 32,184.45/x
  3. Step 3: Cross multiply
    82,108.80x = 123,166.85 × 32,184.45
  4. Step 4: Simplify right side
    82,108.80x = 3,964,057,164.56
  5. Step 5: Solve for x
    x = 3,964,057,164.56/82,108.80
  6. Step 6: Final answer
    x = 48,278.10

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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.