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Finding the Fourth Proportional to 30,292.98, 45,441.97 and 9,233.20

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Solution

The fourth proportional to 30,292.98, 45,441.97 and 9,233.20 is: 13,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.98 : 45,441.97 = 9,233.20 : x
  2. Step 2: Convert to fraction form
    30,292.98/45,441.97 = 9,233.20/x
  3. Step 3: Cross multiply
    30,292.98x = 45,441.97 × 9,233.20
  4. Step 4: Simplify right side
    30,292.98x = 419,574,729.67
  5. Step 5: Solve for x
    x = 419,574,729.67/30,292.98
  6. Step 6: Final answer
    x = 13,850.56

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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.