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Finding the Fourth Proportional to 33,394.68, 46,092.24 and 20,817

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Solution

The fourth proportional to 33,394.68, 46,092.24 and 20,817 is: 28,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,394.68 : 46,092.24 = 20,817 : x
  2. Step 2: Convert to fraction form
    33,394.68/46,092.24 = 20,817/x
  3. Step 3: Cross multiply
    33,394.68x = 46,092.24 × 20,817
  4. Step 4: Simplify right side
    33,394.68x = 959,502,160.08
  5. Step 5: Solve for x
    x = 959,502,160.08/33,394.68
  6. Step 6: Final answer
    x = 28,732.19

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1.5x scale

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.