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Finding the Fourth Proportional to 57,581.70, 86,384.70 and 18,142.80

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Solution

The fourth proportional to 57,581.70, 86,384.70 and 18,142.80 is: 27,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,581.70 : 86,384.70 = 18,142.80 : x
  2. Step 2: Convert to fraction form
    57,581.70/86,384.70 = 18,142.80/x
  3. Step 3: Cross multiply
    57,581.70x = 86,384.70 × 18,142.80
  4. Step 4: Simplify right side
    57,581.70x = 1,567,260,335.16
  5. Step 5: Solve for x
    x = 1,567,260,335.16/57,581.70
  6. Step 6: Final answer
    x = 27,218.03

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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.