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Finding the Fourth Proportional to 49,549.75, 68,382.02 and 28,039.50

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Solution

The fourth proportional to 49,549.75, 68,382.02 and 28,039.50 is: 38,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,549.75 : 68,382.02 = 28,039.50 : x
  2. Step 2: Convert to fraction form
    49,549.75/68,382.02 = 28,039.50/x
  3. Step 3: Cross multiply
    49,549.75x = 68,382.02 × 28,039.50
  4. Step 4: Simplify right side
    49,549.75x = 1,917,398,008.38
  5. Step 5: Solve for x
    x = 1,917,398,008.38/49,549.75
  6. Step 6: Final answer
    x = 38,696.42

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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.