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Finding the Fourth Proportional to 33,692, 46,494 and 18,584.72

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Solution

The fourth proportional to 33,692, 46,494 and 18,584.72 is: 25,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,692 : 46,494 = 18,584.72 : x
  2. Step 2: Convert to fraction form
    33,692/46,494 = 18,584.72/x
  3. Step 3: Cross multiply
    33,692x = 46,494 × 18,584.72
  4. Step 4: Simplify right side
    33,692x = 864,077,971.68
  5. Step 5: Solve for x
    x = 864,077,971.68/33,692
  6. Step 6: Final answer
    x = 25,646.38

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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.