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Finding the Fourth Proportional to 30,830.41, 46,245.94 and 10,840.46

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Solution

The fourth proportional to 30,830.41, 46,245.94 and 10,840.46 is: 16,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.41 : 46,245.94 = 10,840.46 : x
  2. Step 2: Convert to fraction form
    30,830.41/46,245.94 = 10,840.46/x
  3. Step 3: Cross multiply
    30,830.41x = 46,245.94 × 10,840.46
  4. Step 4: Simplify right side
    30,830.41x = 501,327,262.73
  5. Step 5: Solve for x
    x = 501,327,262.73/30,830.41
  6. Step 6: Final answer
    x = 16,260.80

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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.