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Finding the Fourth Proportional to 33,694.38, 46,505.34 and 23,097.96

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Solution

The fourth proportional to 33,694.38, 46,505.34 and 23,097.96 is: 31,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,694.38 : 46,505.34 = 23,097.96 : x
  2. Step 2: Convert to fraction form
    33,694.38/46,505.34 = 23,097.96/x
  3. Step 3: Cross multiply
    33,694.38x = 46,505.34 × 23,097.96
  4. Step 4: Simplify right side
    33,694.38x = 1,074,178,483.11
  5. Step 5: Solve for x
    x = 1,074,178,483.11/33,694.38
  6. Step 6: Final answer
    x = 31,880.05

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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.