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Finding the Fourth Proportional to 109,644.16, 164,356.56 and 50,522.56

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Solution

The fourth proportional to 109,644.16, 164,356.56 and 50,522.56 is: 75,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,644.16 : 164,356.56 = 50,522.56 : x
  2. Step 2: Convert to fraction form
    109,644.16/164,356.56 = 50,522.56/x
  3. Step 3: Cross multiply
    109,644.16x = 164,356.56 × 50,522.56
  4. Step 4: Simplify right side
    109,644.16x = 8,303,714,163.99
  5. Step 5: Solve for x
    x = 8,303,714,163.99/109,644.16
  6. Step 6: Final answer
    x = 75,733.30

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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.