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Finding the Fourth Proportional to 30,846.60, 46,269.90 and 17,022.60

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Solution

The fourth proportional to 30,846.60, 46,269.90 and 17,022.60 is: 25,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.60 : 46,269.90 = 17,022.60 : x
  2. Step 2: Convert to fraction form
    30,846.60/46,269.90 = 17,022.60/x
  3. Step 3: Cross multiply
    30,846.60x = 46,269.90 × 17,022.60
  4. Step 4: Simplify right side
    30,846.60x = 787,633,999.74
  5. Step 5: Solve for x
    x = 787,633,999.74/30,846.60
  6. Step 6: Final answer
    x = 25,533.90

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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.