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Finding the Fourth Proportional to 34,396.56, 47,477.10 and 20,257.62

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Solution

The fourth proportional to 34,396.56, 47,477.10 and 20,257.62 is: 27,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,396.56 : 47,477.10 = 20,257.62 : x
  2. Step 2: Convert to fraction form
    34,396.56/47,477.10 = 20,257.62/x
  3. Step 3: Cross multiply
    34,396.56x = 47,477.10 × 20,257.62
  4. Step 4: Simplify right side
    34,396.56x = 961,773,050.50
  5. Step 5: Solve for x
    x = 961,773,050.50/34,396.56
  6. Step 6: Final answer
    x = 27,961.32

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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.