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Finding the Fourth Proportional to 33,893, 46,772.34 and 20,645

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Solution

The fourth proportional to 33,893, 46,772.34 and 20,645 is: 28,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,893 : 46,772.34 = 20,645 : x
  2. Step 2: Convert to fraction form
    33,893/46,772.34 = 20,645/x
  3. Step 3: Cross multiply
    33,893x = 46,772.34 × 20,645
  4. Step 4: Simplify right side
    33,893x = 965,614,959.30
  5. Step 5: Solve for x
    x = 965,614,959.30/33,893
  6. Step 6: Final answer
    x = 28,490.10

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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.