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Finding the Fourth Proportional to 51,200.70, 76,811.85 and 21,603.30

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Solution

The fourth proportional to 51,200.70, 76,811.85 and 21,603.30 is: 32,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,200.70 : 76,811.85 = 21,603.30 : x
  2. Step 2: Convert to fraction form
    51,200.70/76,811.85 = 21,603.30/x
  3. Step 3: Cross multiply
    51,200.70x = 76,811.85 × 21,603.30
  4. Step 4: Simplify right side
    51,200.70x = 1,659,389,439.11
  5. Step 5: Solve for x
    x = 1,659,389,439.11/51,200.70
  6. Step 6: Final answer
    x = 32,409.51

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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.