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Finding the Fourth Proportional to 30,647.63, 45,891.23 and 20,084.42

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Solution

The fourth proportional to 30,647.63, 45,891.23 and 20,084.42 is: 30,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.63 : 45,891.23 = 20,084.42 : x
  2. Step 2: Convert to fraction form
    30,647.63/45,891.23 = 20,084.42/x
  3. Step 3: Cross multiply
    30,647.63x = 45,891.23 × 20,084.42
  4. Step 4: Simplify right side
    30,647.63x = 921,698,407.76
  5. Step 5: Solve for x
    x = 921,698,407.76/30,647.63
  6. Step 6: Final answer
    x = 30,074.06

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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.