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Finding the Fourth Proportional to 82,224.65, 123,261.37 and 29,621.27

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Solution

The fourth proportional to 82,224.65, 123,261.37 and 29,621.27 is: 44,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,224.65 : 123,261.37 = 29,621.27 : x
  2. Step 2: Convert to fraction form
    82,224.65/123,261.37 = 29,621.27/x
  3. Step 3: Cross multiply
    82,224.65x = 123,261.37 × 29,621.27
  4. Step 4: Simplify right side
    82,224.65x = 3,651,158,321.34
  5. Step 5: Solve for x
    x = 3,651,158,321.34/82,224.65
  6. Step 6: Final answer
    x = 44,404.67

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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.