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Finding the Fourth Proportional to 36,348.90, 50,166.72 and 23,640

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Solution

The fourth proportional to 36,348.90, 50,166.72 and 23,640 is: 32,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,348.90 : 50,166.72 = 23,640 : x
  2. Step 2: Convert to fraction form
    36,348.90/50,166.72 = 23,640/x
  3. Step 3: Cross multiply
    36,348.90x = 50,166.72 × 23,640
  4. Step 4: Simplify right side
    36,348.90x = 1,185,941,260.80
  5. Step 5: Solve for x
    x = 1,185,941,260.80/36,348.90
  6. Step 6: Final answer
    x = 32,626.61

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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.