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Finding the Fourth Proportional to 49,131.96, 67,804.89 and 27,915.63

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Solution

The fourth proportional to 49,131.96, 67,804.89 and 27,915.63 is: 38,525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,131.96 : 67,804.89 = 27,915.63 : x
  2. Step 2: Convert to fraction form
    49,131.96/67,804.89 = 27,915.63/x
  3. Step 3: Cross multiply
    49,131.96x = 67,804.89 × 27,915.63
  4. Step 4: Simplify right side
    49,131.96x = 1,892,816,221.43
  5. Step 5: Solve for x
    x = 1,892,816,221.43/49,131.96
  6. Step 6: Final answer
    x = 38,525.15

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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.