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Finding the Fourth Proportional to 30,539.96, 45,811.32 and 8,352.84

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Solution

The fourth proportional to 30,539.96, 45,811.32 and 8,352.84 is: 12,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.96 : 45,811.32 = 8,352.84 : x
  2. Step 2: Convert to fraction form
    30,539.96/45,811.32 = 8,352.84/x
  3. Step 3: Cross multiply
    30,539.96x = 45,811.32 × 8,352.84
  4. Step 4: Simplify right side
    30,539.96x = 382,654,626.15
  5. Step 5: Solve for x
    x = 382,654,626.15/30,539.96
  6. Step 6: Final answer
    x = 12,529.64

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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.