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Finding the Fourth Proportional to 49,133.37, 67,805.87 and 27,916.23

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Solution

The fourth proportional to 49,133.37, 67,805.87 and 27,916.23 is: 38,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,133.37 : 67,805.87 = 27,916.23 : x
  2. Step 2: Convert to fraction form
    49,133.37/67,805.87 = 27,916.23/x
  3. Step 3: Cross multiply
    49,133.37x = 67,805.87 × 27,916.23
  4. Step 4: Simplify right side
    49,133.37x = 1,892,884,122.69
  5. Step 5: Solve for x
    x = 1,892,884,122.69/49,133.37
  6. Step 6: Final answer
    x = 38,525.43

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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.