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Finding the Fourth Proportional to 57,394.81, 86,221.82 and 34,036.57

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Solution

The fourth proportional to 57,394.81, 86,221.82 and 34,036.57 is: 51,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,394.81 : 86,221.82 = 34,036.57 : x
  2. Step 2: Convert to fraction form
    57,394.81/86,221.82 = 34,036.57/x
  3. Step 3: Cross multiply
    57,394.81x = 86,221.82 × 34,036.57
  4. Step 4: Simplify right side
    57,394.81x = 2,934,695,011.96
  5. Step 5: Solve for x
    x = 2,934,695,011.96/57,394.81
  6. Step 6: Final answer
    x = 51,131.71

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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.