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Finding the Fourth Proportional to 53,874.57, 74,311.29 and 33,696.42

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Solution

The fourth proportional to 53,874.57, 74,311.29 and 33,696.42 is: 46,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,874.57 : 74,311.29 = 33,696.42 : x
  2. Step 2: Convert to fraction form
    53,874.57/74,311.29 = 33,696.42/x
  3. Step 3: Cross multiply
    53,874.57x = 74,311.29 × 33,696.42
  4. Step 4: Simplify right side
    53,874.57x = 2,504,024,438.58
  5. Step 5: Solve for x
    x = 2,504,024,438.58/53,874.57
  6. Step 6: Final answer
    x = 46,478.78

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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.