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Finding the Fourth Proportional to 30,494.88, 42,096.18 and 18,561.96

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Solution

The fourth proportional to 30,494.88, 42,096.18 and 18,561.96 is: 25,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.88 : 42,096.18 = 18,561.96 : x
  2. Step 2: Convert to fraction form
    30,494.88/42,096.18 = 18,561.96/x
  3. Step 3: Cross multiply
    30,494.88x = 42,096.18 × 18,561.96
  4. Step 4: Simplify right side
    30,494.88x = 781,387,609.31
  5. Step 5: Solve for x
    x = 781,387,609.31/30,494.88
  6. Step 6: Final answer
    x = 25,623.57

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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.