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Finding the Fourth Proportional to 38,847.49, 53,601.51 and 22,711.69

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Solution

The fourth proportional to 38,847.49, 53,601.51 and 22,711.69 is: 31,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,847.49 : 53,601.51 = 22,711.69 : x
  2. Step 2: Convert to fraction form
    38,847.49/53,601.51 = 22,711.69/x
  3. Step 3: Cross multiply
    38,847.49x = 53,601.51 × 22,711.69
  4. Step 4: Simplify right side
    38,847.49x = 1,217,380,878.65
  5. Step 5: Solve for x
    x = 1,217,380,878.65/38,847.49
  6. Step 6: Final answer
    x = 31,337.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.