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Finding the Fourth Proportional to 57,619, 86,443.08 and 16,066

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Solution

The fourth proportional to 57,619, 86,443.08 and 16,066 is: 24,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,619 : 86,443.08 = 16,066 : x
  2. Step 2: Convert to fraction form
    57,619/86,443.08 = 16,066/x
  3. Step 3: Cross multiply
    57,619x = 86,443.08 × 16,066
  4. Step 4: Simplify right side
    57,619x = 1,388,794,523.28
  5. Step 5: Solve for x
    x = 1,388,794,523.28/57,619
  6. Step 6: Final answer
    x = 24,103.07

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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.