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Finding the Fourth Proportional to 30,880.56, 46,320.84 and 7,506.96

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Solution

The fourth proportional to 30,880.56, 46,320.84 and 7,506.96 is: 11,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.56 : 46,320.84 = 7,506.96 : x
  2. Step 2: Convert to fraction form
    30,880.56/46,320.84 = 7,506.96/x
  3. Step 3: Cross multiply
    30,880.56x = 46,320.84 × 7,506.96
  4. Step 4: Simplify right side
    30,880.56x = 347,728,693.05
  5. Step 5: Solve for x
    x = 347,728,693.05/30,880.56
  6. Step 6: Final answer
    x = 11,260.44

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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.