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Finding the Fourth Proportional to 82,469.42, 123,621 and 32,530.22

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Solution

The fourth proportional to 82,469.42, 123,621 and 32,530.22 is: 48,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,469.42 : 123,621 = 32,530.22 : x
  2. Step 2: Convert to fraction form
    82,469.42/123,621 = 32,530.22/x
  3. Step 3: Cross multiply
    82,469.42x = 123,621 × 32,530.22
  4. Step 4: Simplify right side
    82,469.42x = 4,021,418,326.62
  5. Step 5: Solve for x
    x = 4,021,418,326.62/82,469.42
  6. Step 6: Final answer
    x = 48,762.54

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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.