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Finding the Fourth Proportional to 57,643.56, 86,468.76 and 16,090.56

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Solution

The fourth proportional to 57,643.56, 86,468.76 and 16,090.56 is: 24,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,643.56 : 86,468.76 = 16,090.56 : x
  2. Step 2: Convert to fraction form
    57,643.56/86,468.76 = 16,090.56/x
  3. Step 3: Cross multiply
    57,643.56x = 86,468.76 × 16,090.56
  4. Step 4: Simplify right side
    57,643.56x = 1,391,330,770.91
  5. Step 5: Solve for x
    x = 1,391,330,770.91/57,643.56
  6. Step 6: Final answer
    x = 24,136.79

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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.