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Finding the Fourth Proportional to 30,716.22, 46,074.35 and 8,529.60

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Solution

The fourth proportional to 30,716.22, 46,074.35 and 8,529.60 is: 12,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716.22 : 46,074.35 = 8,529.60 : x
  2. Step 2: Convert to fraction form
    30,716.22/46,074.35 = 8,529.60/x
  3. Step 3: Cross multiply
    30,716.22x = 46,074.35 × 8,529.60
  4. Step 4: Simplify right side
    30,716.22x = 392,995,633.32
  5. Step 5: Solve for x
    x = 392,995,633.32/30,716.22
  6. Step 6: Final answer
    x = 12,794.40

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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.