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Finding the Fourth Proportional to 33,878, 46,750.16 and 18,770.64

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Solution

The fourth proportional to 33,878, 46,750.16 and 18,770.64 is: 25,902.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,878 : 46,750.16 = 18,770.64 : x
  2. Step 2: Convert to fraction form
    33,878/46,750.16 = 18,770.64/x
  3. Step 3: Cross multiply
    33,878x = 46,750.16 × 18,770.64
  4. Step 4: Simplify right side
    33,878x = 877,530,423.30
  5. Step 5: Solve for x
    x = 877,530,423.30/33,878
  6. Step 6: Final answer
    x = 25,902.66

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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.