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Finding the Fourth Proportional to 50,557.48, 69,766.17 and 27,896.65

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Solution

The fourth proportional to 50,557.48, 69,766.17 and 27,896.65 is: 38,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,557.48 : 69,766.17 = 27,896.65 : x
  2. Step 2: Convert to fraction form
    50,557.48/69,766.17 = 27,896.65/x
  3. Step 3: Cross multiply
    50,557.48x = 69,766.17 × 27,896.65
  4. Step 4: Simplify right side
    50,557.48x = 1,946,242,426.33
  5. Step 5: Solve for x
    x = 1,946,242,426.33/50,557.48
  6. Step 6: Final answer
    x = 38,495.64

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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.