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Finding the Fourth Proportional to 57,628, 86,456.60 and 16,075

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Solution

The fourth proportional to 57,628, 86,456.60 and 16,075 is: 24,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,628 : 86,456.60 = 16,075 : x
  2. Step 2: Convert to fraction form
    57,628/86,456.60 = 16,075/x
  3. Step 3: Cross multiply
    57,628x = 86,456.60 × 16,075
  4. Step 4: Simplify right side
    57,628x = 1,389,789,845
  5. Step 5: Solve for x
    x = 1,389,789,845/57,628
  6. Step 6: Final answer
    x = 24,116.57

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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.