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Finding the Fourth Proportional to 33,413, 46,109.94 and 20,165

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Solution

The fourth proportional to 33,413, 46,109.94 and 20,165 is: 27,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,413 : 46,109.94 = 20,165 : x
  2. Step 2: Convert to fraction form
    33,413/46,109.94 = 20,165/x
  3. Step 3: Cross multiply
    33,413x = 46,109.94 × 20,165
  4. Step 4: Simplify right side
    33,413x = 929,806,940.10
  5. Step 5: Solve for x
    x = 929,806,940.10/33,413
  6. Step 6: Final answer
    x = 27,827.70

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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.