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Finding the Fourth Proportional to 33,057, 49,585.50 and 31,395.96

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Solution

The fourth proportional to 33,057, 49,585.50 and 31,395.96 is: 47,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057 : 49,585.50 = 31,395.96 : x
  2. Step 2: Convert to fraction form
    33,057/49,585.50 = 31,395.96/x
  3. Step 3: Cross multiply
    33,057x = 49,585.50 × 31,395.96
  4. Step 4: Simplify right side
    33,057x = 1,556,784,374.58
  5. Step 5: Solve for x
    x = 1,556,784,374.58/33,057
  6. Step 6: Final answer
    x = 47,093.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.