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Finding the Fourth Proportional to 57,685, 86,536.86 and 22,605.64

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Solution

The fourth proportional to 57,685, 86,536.86 and 22,605.64 is: 33,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,685 : 86,536.86 = 22,605.64 : x
  2. Step 2: Convert to fraction form
    57,685/86,536.86 = 22,605.64/x
  3. Step 3: Cross multiply
    57,685x = 86,536.86 × 22,605.64
  4. Step 4: Simplify right side
    57,685x = 1,956,221,103.89
  5. Step 5: Solve for x
    x = 1,956,221,103.89/57,685
  6. Step 6: Final answer
    x = 33,912.13

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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.