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Finding the Fourth Proportional to 64,494.24, 96,738.84 and 17,745.84

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Solution

The fourth proportional to 64,494.24, 96,738.84 and 17,745.84 is: 26,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,494.24 : 96,738.84 = 17,745.84 : x
  2. Step 2: Convert to fraction form
    64,494.24/96,738.84 = 17,745.84/x
  3. Step 3: Cross multiply
    64,494.24x = 96,738.84 × 17,745.84
  4. Step 4: Simplify right side
    64,494.24x = 1,716,711,976.43
  5. Step 5: Solve for x
    x = 1,716,711,976.43/64,494.24
  6. Step 6: Final answer
    x = 26,618.07

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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.