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Finding the Fourth Proportional to 57,665, 86,497.59 and 16,112

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Solution

The fourth proportional to 57,665, 86,497.59 and 16,112 is: 24,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,665 : 86,497.59 = 16,112 : x
  2. Step 2: Convert to fraction form
    57,665/86,497.59 = 16,112/x
  3. Step 3: Cross multiply
    57,665x = 86,497.59 × 16,112
  4. Step 4: Simplify right side
    57,665x = 1,393,649,170.08
  5. Step 5: Solve for x
    x = 1,393,649,170.08/57,665
  6. Step 6: Final answer
    x = 24,168.03

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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.