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Finding the Fourth Proportional to 30,830.64, 46,247.94 and 9,771.48

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Solution

The fourth proportional to 30,830.64, 46,247.94 and 9,771.48 is: 14,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.64 : 46,247.94 = 9,771.48 : x
  2. Step 2: Convert to fraction form
    30,830.64/46,247.94 = 9,771.48/x
  3. Step 3: Cross multiply
    30,830.64x = 46,247.94 × 9,771.48
  4. Step 4: Simplify right side
    30,830.64x = 451,910,820.75
  5. Step 5: Solve for x
    x = 451,910,820.75/30,830.64
  6. Step 6: Final answer
    x = 14,657.85

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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.