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Finding the Fourth Proportional to 30,745.27, 46,098.96 and 12,003.49

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Solution

The fourth proportional to 30,745.27, 46,098.96 and 12,003.49 is: 17,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.27 : 46,098.96 = 12,003.49 : x
  2. Step 2: Convert to fraction form
    30,745.27/46,098.96 = 12,003.49/x
  3. Step 3: Cross multiply
    30,745.27x = 46,098.96 × 12,003.49
  4. Step 4: Simplify right side
    30,745.27x = 553,348,405.37
  5. Step 5: Solve for x
    x = 553,348,405.37/30,745.27
  6. Step 6: Final answer
    x = 17,997.84

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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.