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Finding the Fourth Proportional to 49,072.70, 67,715.24 and 27,564.86

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Solution

The fourth proportional to 49,072.70, 67,715.24 and 27,564.86 is: 38,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,072.70 : 67,715.24 = 27,564.86 : x
  2. Step 2: Convert to fraction form
    49,072.70/67,715.24 = 27,564.86/x
  3. Step 3: Cross multiply
    49,072.70x = 67,715.24 × 27,564.86
  4. Step 4: Simplify right side
    49,072.70x = 1,866,561,110.47
  5. Step 5: Solve for x
    x = 1,866,561,110.47/49,072.70
  6. Step 6: Final answer
    x = 38,036.65

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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.