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Finding the Fourth Proportional to 36,497.25, 50,366.25 and 19,730.25

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Solution

The fourth proportional to 36,497.25, 50,366.25 and 19,730.25 is: 27,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,497.25 : 50,366.25 = 19,730.25 : x
  2. Step 2: Convert to fraction form
    36,497.25/50,366.25 = 19,730.25/x
  3. Step 3: Cross multiply
    36,497.25x = 50,366.25 × 19,730.25
  4. Step 4: Simplify right side
    36,497.25x = 993,738,704.06
  5. Step 5: Solve for x
    x = 993,738,704.06/36,497.25
  6. Step 6: Final answer
    x = 27,227.77

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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.