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Finding the Fourth Proportional to 109,900.44, 164,871.14 and 49,933.12

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Solution

The fourth proportional to 109,900.44, 164,871.14 and 49,933.12 is: 74,908.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,900.44 : 164,871.14 = 49,933.12 : x
  2. Step 2: Convert to fraction form
    109,900.44/164,871.14 = 49,933.12/x
  3. Step 3: Cross multiply
    109,900.44x = 164,871.14 × 49,933.12
  4. Step 4: Simplify right side
    109,900.44x = 8,232,530,418.16
  5. Step 5: Solve for x
    x = 8,232,530,418.16/109,900.44
  6. Step 6: Final answer
    x = 74,908.99

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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.