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Finding the Fourth Proportional to 30,222.88, 45,334.30 and 9,446.38

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Solution

The fourth proportional to 30,222.88, 45,334.30 and 9,446.38 is: 14,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222.88 : 45,334.30 = 9,446.38 : x
  2. Step 2: Convert to fraction form
    30,222.88/45,334.30 = 9,446.38/x
  3. Step 3: Cross multiply
    30,222.88x = 45,334.30 × 9,446.38
  4. Step 4: Simplify right side
    30,222.88x = 428,245,024.83
  5. Step 5: Solve for x
    x = 428,245,024.83/30,222.88
  6. Step 6: Final answer
    x = 14,169.56

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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.