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Finding the Fourth Proportional to 34,652.48, 51,982.83 and 12,464.01

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Solution

The fourth proportional to 34,652.48, 51,982.83 and 12,464.01 is: 18,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.48 : 51,982.83 = 12,464.01 : x
  2. Step 2: Convert to fraction form
    34,652.48/51,982.83 = 12,464.01/x
  3. Step 3: Cross multiply
    34,652.48x = 51,982.83 × 12,464.01
  4. Step 4: Simplify right side
    34,652.48x = 647,914,512.95
  5. Step 5: Solve for x
    x = 647,914,512.95/34,652.48
  6. Step 6: Final answer
    x = 18,697.50

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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.