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Finding the Fourth Proportional to 30,969, 46,453.50 and 10,194.12

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Solution

The fourth proportional to 30,969, 46,453.50 and 10,194.12 is: 15,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969 : 46,453.50 = 10,194.12 : x
  2. Step 2: Convert to fraction form
    30,969/46,453.50 = 10,194.12/x
  3. Step 3: Cross multiply
    30,969x = 46,453.50 × 10,194.12
  4. Step 4: Simplify right side
    30,969x = 473,552,553.42
  5. Step 5: Solve for x
    x = 473,552,553.42/30,969
  6. Step 6: Final answer
    x = 15,291.18

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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.