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Finding the Fourth Proportional to 46,509.90, 69,763.27 and 20,214.64

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Solution

The fourth proportional to 46,509.90, 69,763.27 and 20,214.64 is: 30,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.90 : 69,763.27 = 20,214.64 : x
  2. Step 2: Convert to fraction form
    46,509.90/69,763.27 = 20,214.64/x
  3. Step 3: Cross multiply
    46,509.90x = 69,763.27 × 20,214.64
  4. Step 4: Simplify right side
    46,509.90x = 1,410,239,388.27
  5. Step 5: Solve for x
    x = 1,410,239,388.27/46,509.90
  6. Step 6: Final answer
    x = 30,321.27

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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.