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Finding the Fourth Proportional to 30,785.64, 46,178.84 and 8,597.68

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Solution

The fourth proportional to 30,785.64, 46,178.84 and 8,597.68 is: 12,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.64 : 46,178.84 = 8,597.68 : x
  2. Step 2: Convert to fraction form
    30,785.64/46,178.84 = 8,597.68/x
  3. Step 3: Cross multiply
    30,785.64x = 46,178.84 × 8,597.68
  4. Step 4: Simplify right side
    30,785.64x = 397,030,889.09
  5. Step 5: Solve for x
    x = 397,030,889.09/30,785.64
  6. Step 6: Final answer
    x = 12,896.63

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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.