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Finding the Fourth Proportional to 45,782.48, 68,704.50 and 16,200.20

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Solution

The fourth proportional to 45,782.48, 68,704.50 and 16,200.20 is: 24,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,782.48 : 68,704.50 = 16,200.20 : x
  2. Step 2: Convert to fraction form
    45,782.48/68,704.50 = 16,200.20/x
  3. Step 3: Cross multiply
    45,782.48x = 68,704.50 × 16,200.20
  4. Step 4: Simplify right side
    45,782.48x = 1,113,026,640.90
  5. Step 5: Solve for x
    x = 1,113,026,640.90/45,782.48
  6. Step 6: Final answer
    x = 24,311.19

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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.