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Finding the Fourth Proportional to 30,823.98, 46,235.37 and 7,450.14

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Solution

The fourth proportional to 30,823.98, 46,235.37 and 7,450.14 is: 11,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.98 : 46,235.37 = 7,450.14 : x
  2. Step 2: Convert to fraction form
    30,823.98/46,235.37 = 7,450.14/x
  3. Step 3: Cross multiply
    30,823.98x = 46,235.37 × 7,450.14
  4. Step 4: Simplify right side
    30,823.98x = 344,459,979.45
  5. Step 5: Solve for x
    x = 344,459,979.45/30,823.98
  6. Step 6: Final answer
    x = 11,175.06

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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.