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Finding the Fourth Proportional to 47,367.70, 71,013.81 and 27,354.48

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Solution

The fourth proportional to 47,367.70, 71,013.81 and 27,354.48 is: 41,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,367.70 : 71,013.81 = 27,354.48 : x
  2. Step 2: Convert to fraction form
    47,367.70/71,013.81 = 27,354.48/x
  3. Step 3: Cross multiply
    47,367.70x = 71,013.81 × 27,354.48
  4. Step 4: Simplify right side
    47,367.70x = 1,942,545,681.65
  5. Step 5: Solve for x
    x = 1,942,545,681.65/47,367.70
  6. Step 6: Final answer
    x = 41,009.92

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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.