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Finding the Fourth Proportional to 30,921.46, 46,354.68 and 11,195.64

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Solution

The fourth proportional to 30,921.46, 46,354.68 and 11,195.64 is: 16,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.46 : 46,354.68 = 11,195.64 : x
  2. Step 2: Convert to fraction form
    30,921.46/46,354.68 = 11,195.64/x
  3. Step 3: Cross multiply
    30,921.46x = 46,354.68 × 11,195.64
  4. Step 4: Simplify right side
    30,921.46x = 518,970,309.60
  5. Step 5: Solve for x
    x = 518,970,309.60/30,921.46
  6. Step 6: Final answer
    x = 16,783.50

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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.