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Finding the Fourth Proportional to 37,313.81, 51,496.68 and 27,865.97

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Solution

The fourth proportional to 37,313.81, 51,496.68 and 27,865.97 is: 38,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,313.81 : 51,496.68 = 27,865.97 : x
  2. Step 2: Convert to fraction form
    37,313.81/51,496.68 = 27,865.97/x
  3. Step 3: Cross multiply
    37,313.81x = 51,496.68 × 27,865.97
  4. Step 4: Simplify right side
    37,313.81x = 1,435,004,939.98
  5. Step 5: Solve for x
    x = 1,435,004,939.98/37,313.81
  6. Step 6: Final answer
    x = 38,457.74

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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.