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Finding the Fourth Proportional to 57,583.01, 86,357.10 and 20,136.11

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Solution

The fourth proportional to 57,583.01, 86,357.10 and 20,136.11 is: 30,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,583.01 : 86,357.10 = 20,136.11 : x
  2. Step 2: Convert to fraction form
    57,583.01/86,357.10 = 20,136.11/x
  3. Step 3: Cross multiply
    57,583.01x = 86,357.10 × 20,136.11
  4. Step 4: Simplify right side
    57,583.01x = 1,738,896,064.88
  5. Step 5: Solve for x
    x = 1,738,896,064.88/57,583.01
  6. Step 6: Final answer
    x = 30,198.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.