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Finding the Fourth Proportional to 30,972.56, 42,755.20 and 20,914.62

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Solution

The fourth proportional to 30,972.56, 42,755.20 and 20,914.62 is: 28,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972.56 : 42,755.20 = 20,914.62 : x
  2. Step 2: Convert to fraction form
    30,972.56/42,755.20 = 20,914.62/x
  3. Step 3: Cross multiply
    30,972.56x = 42,755.20 × 20,914.62
  4. Step 4: Simplify right side
    30,972.56x = 894,208,761.02
  5. Step 5: Solve for x
    x = 894,208,761.02/30,972.56
  6. Step 6: Final answer
    x = 28,871.00

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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.