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Finding the Fourth Proportional to 30,770.01, 46,138.50 and 15,942.15

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Solution

The fourth proportional to 30,770.01, 46,138.50 and 15,942.15 is: 23,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.01 : 46,138.50 = 15,942.15 : x
  2. Step 2: Convert to fraction form
    30,770.01/46,138.50 = 15,942.15/x
  3. Step 3: Cross multiply
    30,770.01x = 46,138.50 × 15,942.15
  4. Step 4: Simplify right side
    30,770.01x = 735,546,887.78
  5. Step 5: Solve for x
    x = 735,546,887.78/30,770.01
  6. Step 6: Final answer
    x = 23,904.67

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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.