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Finding the Fourth Proportional to 30,281.96, 45,423.09 and 9,222.18

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Solution

The fourth proportional to 30,281.96, 45,423.09 and 9,222.18 is: 13,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,281.96 : 45,423.09 = 9,222.18 : x
  2. Step 2: Convert to fraction form
    30,281.96/45,423.09 = 9,222.18/x
  3. Step 3: Cross multiply
    30,281.96x = 45,423.09 × 9,222.18
  4. Step 4: Simplify right side
    30,281.96x = 418,899,912.14
  5. Step 5: Solve for x
    x = 418,899,912.14/30,281.96
  6. Step 6: Final answer
    x = 13,833.32

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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.