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Finding the Fourth Proportional to 33,077, 45,646.26 and 18,173

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Solution

The fourth proportional to 33,077, 45,646.26 and 18,173 is: 25,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,077 : 45,646.26 = 18,173 : x
  2. Step 2: Convert to fraction form
    33,077/45,646.26 = 18,173/x
  3. Step 3: Cross multiply
    33,077x = 45,646.26 × 18,173
  4. Step 4: Simplify right side
    33,077x = 829,529,482.98
  5. Step 5: Solve for x
    x = 829,529,482.98/33,077
  6. Step 6: Final answer
    x = 25,078.74

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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.