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Finding the Fourth Proportional to 57,728, 86,606.58 and 16,175

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Solution

The fourth proportional to 57,728, 86,606.58 and 16,175 is: 24,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,728 : 86,606.58 = 16,175 : x
  2. Step 2: Convert to fraction form
    57,728/86,606.58 = 16,175/x
  3. Step 3: Cross multiply
    57,728x = 86,606.58 × 16,175
  4. Step 4: Simplify right side
    57,728x = 1,400,861,431.50
  5. Step 5: Solve for x
    x = 1,400,861,431.50/57,728
  6. Step 6: Final answer
    x = 24,266.59

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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.