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Finding the Fourth Proportional to 57,662.56, 86,498.88 and 16,109.68

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Solution

The fourth proportional to 57,662.56, 86,498.88 and 16,109.68 is: 24,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,662.56 : 86,498.88 = 16,109.68 : x
  2. Step 2: Convert to fraction form
    57,662.56/86,498.88 = 16,109.68/x
  3. Step 3: Cross multiply
    57,662.56x = 86,498.88 × 16,109.68
  4. Step 4: Simplify right side
    57,662.56x = 1,393,469,277.16
  5. Step 5: Solve for x
    x = 1,393,469,277.16/57,662.56
  6. Step 6: Final answer
    x = 24,165.93

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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.