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Finding the Fourth Proportional to 30,247.96, 45,366.84 and 9,182.96

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Solution

The fourth proportional to 30,247.96, 45,366.84 and 9,182.96 is: 13,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,247.96 : 45,366.84 = 9,182.96 : x
  2. Step 2: Convert to fraction form
    30,247.96/45,366.84 = 9,182.96/x
  3. Step 3: Cross multiply
    30,247.96x = 45,366.84 × 9,182.96
  4. Step 4: Simplify right side
    30,247.96x = 416,601,877.05
  5. Step 5: Solve for x
    x = 416,601,877.05/30,247.96
  6. Step 6: Final answer
    x = 13,772.89

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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.