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Finding the Fourth Proportional to 47,664, 71,449.52 and 22,697.37

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Solution

The fourth proportional to 47,664, 71,449.52 and 22,697.37 is: 34,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,664 : 71,449.52 = 22,697.37 : x
  2. Step 2: Convert to fraction form
    47,664/71,449.52 = 22,697.37/x
  3. Step 3: Cross multiply
    47,664x = 71,449.52 × 22,697.37
  4. Step 4: Simplify right side
    47,664x = 1,621,716,078.28
  5. Step 5: Solve for x
    x = 1,621,716,078.28/47,664
  6. Step 6: Final answer
    x = 34,023.92

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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.