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Finding the Fourth Proportional to 33,500, 46,232.16 and 18,596

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Solution

The fourth proportional to 33,500, 46,232.16 and 18,596 is: 25,663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,500 : 46,232.16 = 18,596 : x
  2. Step 2: Convert to fraction form
    33,500/46,232.16 = 18,596/x
  3. Step 3: Cross multiply
    33,500x = 46,232.16 × 18,596
  4. Step 4: Simplify right side
    33,500x = 859,733,247.36
  5. Step 5: Solve for x
    x = 859,733,247.36/33,500
  6. Step 6: Final answer
    x = 25,663.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.