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Finding the Fourth Proportional to 49,936, 68,916.06 and 27,584.32

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Solution

The fourth proportional to 49,936, 68,916.06 and 27,584.32 is: 38,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,936 : 68,916.06 = 27,584.32 : x
  2. Step 2: Convert to fraction form
    49,936/68,916.06 = 27,584.32/x
  3. Step 3: Cross multiply
    49,936x = 68,916.06 × 27,584.32
  4. Step 4: Simplify right side
    49,936x = 1,901,002,652.18
  5. Step 5: Solve for x
    x = 1,901,002,652.18/49,936
  6. Step 6: Final answer
    x = 38,068.78

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1.5x scale

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.