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Finding the Fourth Proportional to 57,467.55, 86,201.32 and 15,914.55

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Solution

The fourth proportional to 57,467.55, 86,201.32 and 15,914.55 is: 23,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,467.55 : 86,201.32 = 15,914.55 : x
  2. Step 2: Convert to fraction form
    57,467.55/86,201.32 = 15,914.55/x
  3. Step 3: Cross multiply
    57,467.55x = 86,201.32 × 15,914.55
  4. Step 4: Simplify right side
    57,467.55x = 1,371,855,217.21
  5. Step 5: Solve for x
    x = 1,371,855,217.21/57,467.55
  6. Step 6: Final answer
    x = 23,871.82

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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.