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Finding the Fourth Proportional to 30,716.70, 46,072.89 and 11,993.28

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Solution

The fourth proportional to 30,716.70, 46,072.89 and 11,993.28 is: 17,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716.70 : 46,072.89 = 11,993.28 : x
  2. Step 2: Convert to fraction form
    30,716.70/46,072.89 = 11,993.28/x
  3. Step 3: Cross multiply
    30,716.70x = 46,072.89 × 11,993.28
  4. Step 4: Simplify right side
    30,716.70x = 552,565,070.18
  5. Step 5: Solve for x
    x = 552,565,070.18/30,716.70
  6. Step 6: Final answer
    x = 17,989.08

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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.