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Finding the Fourth Proportional to 30,791.97, 42,430.14 and 21,234.78

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Solution

The fourth proportional to 30,791.97, 42,430.14 and 21,234.78 is: 29,260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,791.97 : 42,430.14 = 21,234.78 : x
  2. Step 2: Convert to fraction form
    30,791.97/42,430.14 = 21,234.78/x
  3. Step 3: Cross multiply
    30,791.97x = 42,430.14 × 21,234.78
  4. Step 4: Simplify right side
    30,791.97x = 900,994,688.27
  5. Step 5: Solve for x
    x = 900,994,688.27/30,791.97
  6. Step 6: Final answer
    x = 29,260.70

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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.