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Finding the Fourth Proportional to 30,782.01, 46,173.02 and 7,408.44

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Solution

The fourth proportional to 30,782.01, 46,173.02 and 7,408.44 is: 11,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.01 : 46,173.02 = 7,408.44 : x
  2. Step 2: Convert to fraction form
    30,782.01/46,173.02 = 7,408.44/x
  3. Step 3: Cross multiply
    30,782.01x = 46,173.02 × 7,408.44
  4. Step 4: Simplify right side
    30,782.01x = 342,070,151.53
  5. Step 5: Solve for x
    x = 342,070,151.53/30,782.01
  6. Step 6: Final answer
    x = 11,112.67

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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.