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Finding the Fourth Proportional to 30,967.14, 46,450.71 and 7,593.38

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Solution

The fourth proportional to 30,967.14, 46,450.71 and 7,593.38 is: 11,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,967.14 : 46,450.71 = 7,593.38 : x
  2. Step 2: Convert to fraction form
    30,967.14/46,450.71 = 7,593.38/x
  3. Step 3: Cross multiply
    30,967.14x = 46,450.71 × 7,593.38
  4. Step 4: Simplify right side
    30,967.14x = 352,717,660.05
  5. Step 5: Solve for x
    x = 352,717,660.05/30,967.14
  6. Step 6: Final answer
    x = 11,390.06

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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.