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Finding the Fourth Proportional to 31,205.70, 46,808.55 and 21,183.30

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Solution

The fourth proportional to 31,205.70, 46,808.55 and 21,183.30 is: 31,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.70 : 46,808.55 = 21,183.30 : x
  2. Step 2: Convert to fraction form
    31,205.70/46,808.55 = 21,183.30/x
  3. Step 3: Cross multiply
    31,205.70x = 46,808.55 × 21,183.30
  4. Step 4: Simplify right side
    31,205.70x = 991,559,557.22
  5. Step 5: Solve for x
    x = 991,559,557.22/31,205.70
  6. Step 6: Final answer
    x = 31,774.95

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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.