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Finding the Fourth Proportional to 39,870.92, 59,786.82 and 22,771.82

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Solution

The fourth proportional to 39,870.92, 59,786.82 and 22,771.82 is: 34,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,870.92 : 59,786.82 = 22,771.82 : x
  2. Step 2: Convert to fraction form
    39,870.92/59,786.82 = 22,771.82/x
  3. Step 3: Cross multiply
    39,870.92x = 59,786.82 × 22,771.82
  4. Step 4: Simplify right side
    39,870.92x = 1,361,454,703.41
  5. Step 5: Solve for x
    x = 1,361,454,703.41/39,870.92
  6. Step 6: Final answer
    x = 34,146.56

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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.