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Finding the Fourth Proportional to 30,450.14, 45,647.52 and 11,718.22

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Solution

The fourth proportional to 30,450.14, 45,647.52 and 11,718.22 is: 17,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,450.14 : 45,647.52 = 11,718.22 : x
  2. Step 2: Convert to fraction form
    30,450.14/45,647.52 = 11,718.22/x
  3. Step 3: Cross multiply
    30,450.14x = 45,647.52 × 11,718.22
  4. Step 4: Simplify right side
    30,450.14x = 534,907,681.81
  5. Step 5: Solve for x
    x = 534,907,681.81/30,450.14
  6. Step 6: Final answer
    x = 17,566.67

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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.