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Finding the Fourth Proportional to 30,731.94, 42,410.31 and 18,162.90

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Solution

The fourth proportional to 30,731.94, 42,410.31 and 18,162.90 is: 25,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.94 : 42,410.31 = 18,162.90 : x
  2. Step 2: Convert to fraction form
    30,731.94/42,410.31 = 18,162.90/x
  3. Step 3: Cross multiply
    30,731.94x = 42,410.31 × 18,162.90
  4. Step 4: Simplify right side
    30,731.94x = 770,294,219.50
  5. Step 5: Solve for x
    x = 770,294,219.50/30,731.94
  6. Step 6: Final answer
    x = 25,064.94

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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.