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Finding the Fourth Proportional to 57,392.20, 86,093.24 and 15,839.20

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Solution

The fourth proportional to 57,392.20, 86,093.24 and 15,839.20 is: 23,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,392.20 : 86,093.24 = 15,839.20 : x
  2. Step 2: Convert to fraction form
    57,392.20/86,093.24 = 15,839.20/x
  3. Step 3: Cross multiply
    57,392.20x = 86,093.24 × 15,839.20
  4. Step 4: Simplify right side
    57,392.20x = 1,363,648,047.01
  5. Step 5: Solve for x
    x = 1,363,648,047.01/57,392.20
  6. Step 6: Final answer
    x = 23,760.16

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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.