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Finding the Fourth Proportional to 33,264, 45,904.38 and 18,360

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Solution

The fourth proportional to 33,264, 45,904.38 and 18,360 is: 25,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,264 : 45,904.38 = 18,360 : x
  2. Step 2: Convert to fraction form
    33,264/45,904.38 = 18,360/x
  3. Step 3: Cross multiply
    33,264x = 45,904.38 × 18,360
  4. Step 4: Simplify right side
    33,264x = 842,804,416.80
  5. Step 5: Solve for x
    x = 842,804,416.80/33,264
  6. Step 6: Final answer
    x = 25,336.83

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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.