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Finding the Fourth Proportional to 30,768.71, 42,471.35 and 18,025.98

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Solution

The fourth proportional to 30,768.71, 42,471.35 and 18,025.98 is: 24,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768.71 : 42,471.35 = 18,025.98 : x
  2. Step 2: Convert to fraction form
    30,768.71/42,471.35 = 18,025.98/x
  3. Step 3: Cross multiply
    30,768.71x = 42,471.35 × 18,025.98
  4. Step 4: Simplify right side
    30,768.71x = 765,587,615.54
  5. Step 5: Solve for x
    x = 765,587,615.54/30,768.71
  6. Step 6: Final answer
    x = 24,882.02

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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.