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Finding the Fourth Proportional to 30,453.50, 45,678.80 and 7,964.19

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Solution

The fourth proportional to 30,453.50, 45,678.80 and 7,964.19 is: 11,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,453.50 : 45,678.80 = 7,964.19 : x
  2. Step 2: Convert to fraction form
    30,453.50/45,678.80 = 7,964.19/x
  3. Step 3: Cross multiply
    30,453.50x = 45,678.80 × 7,964.19
  4. Step 4: Simplify right side
    30,453.50x = 363,794,662.08
  5. Step 5: Solve for x
    x = 363,794,662.08/30,453.50
  6. Step 6: Final answer
    x = 11,945.91

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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.