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Finding the Fourth Proportional to 33,384, 46,069.92 and 18,480

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Solution

The fourth proportional to 33,384, 46,069.92 and 18,480 is: 25,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,384 : 46,069.92 = 18,480 : x
  2. Step 2: Convert to fraction form
    33,384/46,069.92 = 18,480/x
  3. Step 3: Cross multiply
    33,384x = 46,069.92 × 18,480
  4. Step 4: Simplify right side
    33,384x = 851,372,121.60
  5. Step 5: Solve for x
    x = 851,372,121.60/33,384
  6. Step 6: Final answer
    x = 25,502.40

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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.