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Finding the Fourth Proportional to 30,182.94, 45,274.20 and 16,419.42

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Solution

The fourth proportional to 30,182.94, 45,274.20 and 16,419.42 is: 24,629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,182.94 : 45,274.20 = 16,419.42 : x
  2. Step 2: Convert to fraction form
    30,182.94/45,274.20 = 16,419.42/x
  3. Step 3: Cross multiply
    30,182.94x = 45,274.20 × 16,419.42
  4. Step 4: Simplify right side
    30,182.94x = 743,376,104.96
  5. Step 5: Solve for x
    x = 743,376,104.96/30,182.94
  6. Step 6: Final answer
    x = 24,629.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.