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Finding the Fourth Proportional to 30,677.40, 46,022.25 and 10,955.46

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Solution

The fourth proportional to 30,677.40, 46,022.25 and 10,955.46 is: 16,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.40 : 46,022.25 = 10,955.46 : x
  2. Step 2: Convert to fraction form
    30,677.40/46,022.25 = 10,955.46/x
  3. Step 3: Cross multiply
    30,677.40x = 46,022.25 × 10,955.46
  4. Step 4: Simplify right side
    30,677.40x = 504,194,918.99
  5. Step 5: Solve for x
    x = 504,194,918.99/30,677.40
  6. Step 6: Final answer
    x = 16,435.39

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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.