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Finding the Fourth Proportional to 49,580.50, 68,421.09 and 27,224.50

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Solution

The fourth proportional to 49,580.50, 68,421.09 and 27,224.50 is: 37,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,580.50 : 68,421.09 = 27,224.50 : x
  2. Step 2: Convert to fraction form
    49,580.50/68,421.09 = 27,224.50/x
  3. Step 3: Cross multiply
    49,580.50x = 68,421.09 × 27,224.50
  4. Step 4: Simplify right side
    49,580.50x = 1,862,729,964.71
  5. Step 5: Solve for x
    x = 1,862,729,964.71/49,580.50
  6. Step 6: Final answer
    x = 37,569.81

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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.