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Finding the Fourth Proportional to 59,633.24, 82,294.04 and 32,778.50

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Solution

The fourth proportional to 59,633.24, 82,294.04 and 32,778.50 is: 45,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,633.24 : 82,294.04 = 32,778.50 : x
  2. Step 2: Convert to fraction form
    59,633.24/82,294.04 = 32,778.50/x
  3. Step 3: Cross multiply
    59,633.24x = 82,294.04 × 32,778.50
  4. Step 4: Simplify right side
    59,633.24x = 2,697,474,860.62
  5. Step 5: Solve for x
    x = 2,697,474,860.62/59,633.24
  6. Step 6: Final answer
    x = 45,234.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.