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Finding the Fourth Proportional to 36,283.98, 50,071.05 and 20,368.02

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Solution

The fourth proportional to 36,283.98, 50,071.05 and 20,368.02 is: 28,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,283.98 : 50,071.05 = 20,368.02 : x
  2. Step 2: Convert to fraction form
    36,283.98/50,071.05 = 20,368.02/x
  3. Step 3: Cross multiply
    36,283.98x = 50,071.05 × 20,368.02
  4. Step 4: Simplify right side
    36,283.98x = 1,019,848,147.82
  5. Step 5: Solve for x
    x = 1,019,848,147.82/36,283.98
  6. Step 6: Final answer
    x = 28,107.39

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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.