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Finding the Fourth Proportional to 29,694.96, 44,546.16 and 9,975.60

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Solution

The fourth proportional to 29,694.96, 44,546.16 and 9,975.60 is: 14,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694.96 : 44,546.16 = 9,975.60 : x
  2. Step 2: Convert to fraction form
    29,694.96/44,546.16 = 9,975.60/x
  3. Step 3: Cross multiply
    29,694.96x = 44,546.16 × 9,975.60
  4. Step 4: Simplify right side
    29,694.96x = 444,374,673.70
  5. Step 5: Solve for x
    x = 444,374,673.70/29,694.96
  6. Step 6: Final answer
    x = 14,964.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.