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Finding the Fourth Proportional to 30,285.83, 45,431.05 and 9,227.67

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Solution

The fourth proportional to 30,285.83, 45,431.05 and 9,227.67 is: 13,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.83 : 45,431.05 = 9,227.67 : x
  2. Step 2: Convert to fraction form
    30,285.83/45,431.05 = 9,227.67/x
  3. Step 3: Cross multiply
    30,285.83x = 45,431.05 × 9,227.67
  4. Step 4: Simplify right side
    30,285.83x = 419,222,463.86
  5. Step 5: Solve for x
    x = 419,222,463.86/30,285.83
  6. Step 6: Final answer
    x = 13,842.20

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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.