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Finding the Fourth Proportional to 30,771.60, 46,121.40 and 17,636.40

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Solution

The fourth proportional to 30,771.60, 46,121.40 and 17,636.40 is: 26,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.60 : 46,121.40 = 17,636.40 : x
  2. Step 2: Convert to fraction form
    30,771.60/46,121.40 = 17,636.40/x
  3. Step 3: Cross multiply
    30,771.60x = 46,121.40 × 17,636.40
  4. Step 4: Simplify right side
    30,771.60x = 813,415,458.96
  5. Step 5: Solve for x
    x = 813,415,458.96/30,771.60
  6. Step 6: Final answer
    x = 26,433.97

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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.