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Finding the Fourth Proportional to 47,440.12, 65,467.26 and 30,673

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Solution

The fourth proportional to 47,440.12, 65,467.26 and 30,673 is: 42,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,440.12 : 65,467.26 = 30,673 : x
  2. Step 2: Convert to fraction form
    47,440.12/65,467.26 = 30,673/x
  3. Step 3: Cross multiply
    47,440.12x = 65,467.26 × 30,673
  4. Step 4: Simplify right side
    47,440.12x = 2,008,077,265.98
  5. Step 5: Solve for x
    x = 2,008,077,265.98/47,440.12
  6. Step 6: Final answer
    x = 42,328.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.