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Finding the Fourth Proportional to 36,605.50, 50,515.60 and 19,838.50

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Solution

The fourth proportional to 36,605.50, 50,515.60 and 19,838.50 is: 27,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,605.50 : 50,515.60 = 19,838.50 : x
  2. Step 2: Convert to fraction form
    36,605.50/50,515.60 = 19,838.50/x
  3. Step 3: Cross multiply
    36,605.50x = 50,515.60 × 19,838.50
  4. Step 4: Simplify right side
    36,605.50x = 1,002,153,730.60
  5. Step 5: Solve for x
    x = 1,002,153,730.60/36,605.50
  6. Step 6: Final answer
    x = 27,377.14

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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.