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Finding the Fourth Proportional to 57,624.52, 86,389.26 and 18,157

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Solution

The fourth proportional to 57,624.52, 86,389.26 and 18,157 is: 27,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,624.52 : 86,389.26 = 18,157 : x
  2. Step 2: Convert to fraction form
    57,624.52/86,389.26 = 18,157/x
  3. Step 3: Cross multiply
    57,624.52x = 86,389.26 × 18,157
  4. Step 4: Simplify right side
    57,624.52x = 1,568,569,793.82
  5. Step 5: Solve for x
    x = 1,568,569,793.82/57,624.52
  6. Step 6: Final answer
    x = 27,220.53

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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.