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Finding the Fourth Proportional to 30,205.71, 45,336.24 and 16,181.57

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Solution

The fourth proportional to 30,205.71, 45,336.24 and 16,181.57 is: 24,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.71 : 45,336.24 = 16,181.57 : x
  2. Step 2: Convert to fraction form
    30,205.71/45,336.24 = 16,181.57/x
  3. Step 3: Cross multiply
    30,205.71x = 45,336.24 × 16,181.57
  4. Step 4: Simplify right side
    30,205.71x = 733,611,233.51
  5. Step 5: Solve for x
    x = 733,611,233.51/30,205.71
  6. Step 6: Final answer
    x = 24,287.17

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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.