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Finding the Fourth Proportional to 49,687.50, 68,569.84 and 27,331.50

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Solution

The fourth proportional to 49,687.50, 68,569.84 and 27,331.50 is: 37,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,687.50 : 68,569.84 = 27,331.50 : x
  2. Step 2: Convert to fraction form
    49,687.50/68,569.84 = 27,331.50/x
  3. Step 3: Cross multiply
    49,687.50x = 68,569.84 × 27,331.50
  4. Step 4: Simplify right side
    49,687.50x = 1,874,116,581.96
  5. Step 5: Solve for x
    x = 1,874,116,581.96/49,687.50
  6. Step 6: Final answer
    x = 37,718.07

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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.