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Finding the Fourth Proportional to 57,894.56, 86,828.70 and 16,344.80

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Solution

The fourth proportional to 57,894.56, 86,828.70 and 16,344.80 is: 24,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,894.56 : 86,828.70 = 16,344.80 : x
  2. Step 2: Convert to fraction form
    57,894.56/86,828.70 = 16,344.80/x
  3. Step 3: Cross multiply
    57,894.56x = 86,828.70 × 16,344.80
  4. Step 4: Simplify right side
    57,894.56x = 1,419,197,735.76
  5. Step 5: Solve for x
    x = 1,419,197,735.76/57,894.56
  6. Step 6: Final answer
    x = 24,513.49

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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.