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Finding the Fourth Proportional to 30,917.68, 46,378.31 and 8,729.20

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Solution

The fourth proportional to 30,917.68, 46,378.31 and 8,729.20 is: 13,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,917.68 : 46,378.31 = 8,729.20 : x
  2. Step 2: Convert to fraction form
    30,917.68/46,378.31 = 8,729.20/x
  3. Step 3: Cross multiply
    30,917.68x = 46,378.31 × 8,729.20
  4. Step 4: Simplify right side
    30,917.68x = 404,845,311.76
  5. Step 5: Solve for x
    x = 404,845,311.76/30,917.68
  6. Step 6: Final answer
    x = 13,094.30

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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.