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Finding the Fourth Proportional to 38,458.50, 53,072.73 and 20,794.50

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Solution

The fourth proportional to 38,458.50, 53,072.73 and 20,794.50 is: 28,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458.50 : 53,072.73 = 20,794.50 : x
  2. Step 2: Convert to fraction form
    38,458.50/53,072.73 = 20,794.50/x
  3. Step 3: Cross multiply
    38,458.50x = 53,072.73 × 20,794.50
  4. Step 4: Simplify right side
    38,458.50x = 1,103,620,883.99
  5. Step 5: Solve for x
    x = 1,103,620,883.99/38,458.50
  6. Step 6: Final answer
    x = 28,696.41

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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.