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Finding the Fourth Proportional to 49,313.95, 68,053.05 and 27,806.02

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Solution

The fourth proportional to 49,313.95, 68,053.05 and 27,806.02 is: 38,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,313.95 : 68,053.05 = 27,806.02 : x
  2. Step 2: Convert to fraction form
    49,313.95/68,053.05 = 27,806.02/x
  3. Step 3: Cross multiply
    49,313.95x = 68,053.05 × 27,806.02
  4. Step 4: Simplify right side
    49,313.95x = 1,892,284,299.23
  5. Step 5: Solve for x
    x = 1,892,284,299.23/49,313.95
  6. Step 6: Final answer
    x = 38,372.19

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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.