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Finding the Fourth Proportional to 36,796.57, 55,203 and 13,423

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Solution

The fourth proportional to 36,796.57, 55,203 and 13,423 is: 20,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,796.57 : 55,203 = 13,423 : x
  2. Step 2: Convert to fraction form
    36,796.57/55,203 = 13,423/x
  3. Step 3: Cross multiply
    36,796.57x = 55,203 × 13,423
  4. Step 4: Simplify right side
    36,796.57x = 740,989,869
  5. Step 5: Solve for x
    x = 740,989,869/36,796.57
  6. Step 6: Final answer
    x = 20,137.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.