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Finding the Fourth Proportional to 49,174.57, 67,860.80 and 27,664.32

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Solution

The fourth proportional to 49,174.57, 67,860.80 and 27,664.32 is: 38,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,174.57 : 67,860.80 = 27,664.32 : x
  2. Step 2: Convert to fraction form
    49,174.57/67,860.80 = 27,664.32/x
  3. Step 3: Cross multiply
    49,174.57x = 67,860.80 × 27,664.32
  4. Step 4: Simplify right side
    49,174.57x = 1,877,323,106.55
  5. Step 5: Solve for x
    x = 1,877,323,106.55/49,174.57
  6. Step 6: Final answer
    x = 38,176.71

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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.