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Finding the Fourth Proportional to 30,768.23, 46,152.34 and 7,394.67

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Solution

The fourth proportional to 30,768.23, 46,152.34 and 7,394.67 is: 11,092.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,768.23 : 46,152.34 = 7,394.67 : x
  2. Step 2: Convert to fraction form
    30,768.23/46,152.34 = 7,394.67/x
  3. Step 3: Cross multiply
    30,768.23x = 46,152.34 × 7,394.67
  4. Step 4: Simplify right side
    30,768.23x = 341,281,324.03
  5. Step 5: Solve for x
    x = 341,281,324.03/30,768.23
  6. Step 6: Final answer
    x = 11,092.00

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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.