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Finding the Fourth Proportional to 57,660, 86,495.67 and 16,107

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Solution

The fourth proportional to 57,660, 86,495.67 and 16,107 is: 24,162.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,660 : 86,495.67 = 16,107 : x
  2. Step 2: Convert to fraction form
    57,660/86,495.67 = 16,107/x
  3. Step 3: Cross multiply
    57,660x = 86,495.67 × 16,107
  4. Step 4: Simplify right side
    57,660x = 1,393,185,756.69
  5. Step 5: Solve for x
    x = 1,393,185,756.69/57,660
  6. Step 6: Final answer
    x = 24,162.08

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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.