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Finding the Fourth Proportional to 109,744.53, 164,489.73 and 50,455.77

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Solution

The fourth proportional to 109,744.53, 164,489.73 and 50,455.77 is: 75,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,744.53 : 164,489.73 = 50,455.77 : x
  2. Step 2: Convert to fraction form
    109,744.53/164,489.73 = 50,455.77/x
  3. Step 3: Cross multiply
    109,744.53x = 164,489.73 × 50,455.77
  4. Step 4: Simplify right side
    109,744.53x = 8,299,455,984.24
  5. Step 5: Solve for x
    x = 8,299,455,984.24/109,744.53
  6. Step 6: Final answer
    x = 75,625.24

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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.