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Finding the Fourth Proportional to 30,974.55, 42,751.68 and 20,365.17

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Solution

The fourth proportional to 30,974.55, 42,751.68 and 20,365.17 is: 28,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.55 : 42,751.68 = 20,365.17 : x
  2. Step 2: Convert to fraction form
    30,974.55/42,751.68 = 20,365.17/x
  3. Step 3: Cross multiply
    30,974.55x = 42,751.68 × 20,365.17
  4. Step 4: Simplify right side
    30,974.55x = 870,645,230.99
  5. Step 5: Solve for x
    x = 870,645,230.99/30,974.55
  6. Step 6: Final answer
    x = 28,108.41

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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.