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Finding the Fourth Proportional to 30,920.35, 46,380.63 and 7,546.79

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Solution

The fourth proportional to 30,920.35, 46,380.63 and 7,546.79 is: 11,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.35 : 46,380.63 = 7,546.79 : x
  2. Step 2: Convert to fraction form
    30,920.35/46,380.63 = 7,546.79/x
  3. Step 3: Cross multiply
    30,920.35x = 46,380.63 × 7,546.79
  4. Step 4: Simplify right side
    30,920.35x = 350,024,758.04
  5. Step 5: Solve for x
    x = 350,024,758.04/30,920.35
  6. Step 6: Final answer
    x = 11,320.21

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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.