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Finding the Fourth Proportional to 57,663.60, 86,498.10 and 18,223.80

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Solution

The fourth proportional to 57,663.60, 86,498.10 and 18,223.80 is: 27,336.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,663.60 : 86,498.10 = 18,223.80 : x
  2. Step 2: Convert to fraction form
    57,663.60/86,498.10 = 18,223.80/x
  3. Step 3: Cross multiply
    57,663.60x = 86,498.10 × 18,223.80
  4. Step 4: Simplify right side
    57,663.60x = 1,576,324,074.78
  5. Step 5: Solve for x
    x = 1,576,324,074.78/57,663.60
  6. Step 6: Final answer
    x = 27,336.55

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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.