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Finding the Fourth Proportional to 30,647.20, 45,965.32 and 8,158

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Solution

The fourth proportional to 30,647.20, 45,965.32 and 8,158 is: 12,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.20 : 45,965.32 = 8,158 : x
  2. Step 2: Convert to fraction form
    30,647.20/45,965.32 = 8,158/x
  3. Step 3: Cross multiply
    30,647.20x = 45,965.32 × 8,158
  4. Step 4: Simplify right side
    30,647.20x = 374,985,080.56
  5. Step 5: Solve for x
    x = 374,985,080.56/30,647.20
  6. Step 6: Final answer
    x = 12,235.54

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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.