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Finding the Fourth Proportional to 30,974.72, 42,751.90 and 20,365.34

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Solution

The fourth proportional to 30,974.72, 42,751.90 and 20,365.34 is: 28,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.72 : 42,751.90 = 20,365.34 : x
  2. Step 2: Convert to fraction form
    30,974.72/42,751.90 = 20,365.34/x
  3. Step 3: Cross multiply
    30,974.72x = 42,751.90 × 20,365.34
  4. Step 4: Simplify right side
    30,974.72x = 870,656,979.15
  5. Step 5: Solve for x
    x = 870,656,979.15/30,974.72
  6. Step 6: Final answer
    x = 28,108.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.