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Finding the Fourth Proportional to 30,770.69, 46,157.85 and 9,711.39

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Solution

The fourth proportional to 30,770.69, 46,157.85 and 9,711.39 is: 14,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.69 : 46,157.85 = 9,711.39 : x
  2. Step 2: Convert to fraction form
    30,770.69/46,157.85 = 9,711.39/x
  3. Step 3: Cross multiply
    30,770.69x = 46,157.85 × 9,711.39
  4. Step 4: Simplify right side
    30,770.69x = 448,257,056.00
  5. Step 5: Solve for x
    x = 448,257,056.00/30,770.69
  6. Step 6: Final answer
    x = 14,567.67

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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.