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Finding the Fourth Proportional to 30,920.01, 46,380.12 and 7,546.45

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Solution

The fourth proportional to 30,920.01, 46,380.12 and 7,546.45 is: 11,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.01 : 46,380.12 = 7,546.45 : x
  2. Step 2: Convert to fraction form
    30,920.01/46,380.12 = 7,546.45/x
  3. Step 3: Cross multiply
    30,920.01x = 46,380.12 × 7,546.45
  4. Step 4: Simplify right side
    30,920.01x = 350,005,024.67
  5. Step 5: Solve for x
    x = 350,005,024.67/30,920.01
  6. Step 6: Final answer
    x = 11,319.69

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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.