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Finding the Fourth Proportional to 46,096.64, 69,150.60 and 16,517.60

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Solution

The fourth proportional to 46,096.64, 69,150.60 and 16,517.60 is: 24,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,096.64 : 69,150.60 = 16,517.60 : x
  2. Step 2: Convert to fraction form
    46,096.64/69,150.60 = 16,517.60/x
  3. Step 3: Cross multiply
    46,096.64x = 69,150.60 × 16,517.60
  4. Step 4: Simplify right side
    46,096.64x = 1,142,201,950.56
  5. Step 5: Solve for x
    x = 1,142,201,950.56/46,096.64
  6. Step 6: Final answer
    x = 24,778.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.