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Finding the Fourth Proportional to 33,634, 46,414.92 and 18,730

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Solution

The fourth proportional to 33,634, 46,414.92 and 18,730 is: 25,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634 : 46,414.92 = 18,730 : x
  2. Step 2: Convert to fraction form
    33,634/46,414.92 = 18,730/x
  3. Step 3: Cross multiply
    33,634x = 46,414.92 × 18,730
  4. Step 4: Simplify right side
    33,634x = 869,351,451.60
  5. Step 5: Solve for x
    x = 869,351,451.60/33,634
  6. Step 6: Final answer
    x = 25,847.40

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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.