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Finding the Fourth Proportional to 30,766.98, 42,458.63 and 18,027.70

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Solution

The fourth proportional to 30,766.98, 42,458.63 and 18,027.70 is: 24,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.98 : 42,458.63 = 18,027.70 : x
  2. Step 2: Convert to fraction form
    30,766.98/42,458.63 = 18,027.70/x
  3. Step 3: Cross multiply
    30,766.98x = 42,458.63 × 18,027.70
  4. Step 4: Simplify right side
    30,766.98x = 765,431,444.05
  5. Step 5: Solve for x
    x = 765,431,444.05/30,766.98
  6. Step 6: Final answer
    x = 24,878.34

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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.