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Finding the Fourth Proportional to 49,763.94, 74,646 and 14,728.20

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Solution

The fourth proportional to 49,763.94, 74,646 and 14,728.20 is: 22,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,763.94 : 74,646 = 14,728.20 : x
  2. Step 2: Convert to fraction form
    49,763.94/74,646 = 14,728.20/x
  3. Step 3: Cross multiply
    49,763.94x = 74,646 × 14,728.20
  4. Step 4: Simplify right side
    49,763.94x = 1,099,401,217.20
  5. Step 5: Solve for x
    x = 1,099,401,217.20/49,763.94
  6. Step 6: Final answer
    x = 22,092.33

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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.