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Finding the Fourth Proportional to 33,454, 46,167.96 and 20,022.70

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Solution

The fourth proportional to 33,454, 46,167.96 and 20,022.70 is: 27,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454 : 46,167.96 = 20,022.70 : x
  2. Step 2: Convert to fraction form
    33,454/46,167.96 = 20,022.70/x
  3. Step 3: Cross multiply
    33,454x = 46,167.96 × 20,022.70
  4. Step 4: Simplify right side
    33,454x = 924,407,212.69
  5. Step 5: Solve for x
    x = 924,407,212.69/33,454
  6. Step 6: Final answer
    x = 27,632.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.