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Finding the Fourth Proportional to 57,567, 86,355.39 and 16,014

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Solution

The fourth proportional to 57,567, 86,355.39 and 16,014 is: 24,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,567 : 86,355.39 = 16,014 : x
  2. Step 2: Convert to fraction form
    57,567/86,355.39 = 16,014/x
  3. Step 3: Cross multiply
    57,567x = 86,355.39 × 16,014
  4. Step 4: Simplify right side
    57,567x = 1,382,895,215.46
  5. Step 5: Solve for x
    x = 1,382,895,215.46/57,567
  6. Step 6: Final answer
    x = 24,022.36

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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.