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Finding the Fourth Proportional to 49,440, 68,228.64 and 27,085.44

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Solution

The fourth proportional to 49,440, 68,228.64 and 27,085.44 is: 37,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,440 : 68,228.64 = 27,085.44 : x
  2. Step 2: Convert to fraction form
    49,440/68,228.64 = 27,085.44/x
  3. Step 3: Cross multiply
    49,440x = 68,228.64 × 27,085.44
  4. Step 4: Simplify right side
    49,440x = 1,848,002,735.00
  5. Step 5: Solve for x
    x = 1,848,002,735.00/49,440
  6. Step 6: Final answer
    x = 37,378.70

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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.