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Finding the Fourth Proportional to 30,516.32, 45,795 and 10,794.80

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Solution

The fourth proportional to 30,516.32, 45,795 and 10,794.80 is: 16,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,516.32 : 45,795 = 10,794.80 : x
  2. Step 2: Convert to fraction form
    30,516.32/45,795 = 10,794.80/x
  3. Step 3: Cross multiply
    30,516.32x = 45,795 × 10,794.80
  4. Step 4: Simplify right side
    30,516.32x = 494,347,866.00
  5. Step 5: Solve for x
    x = 494,347,866.00/30,516.32
  6. Step 6: Final answer
    x = 16,199.46

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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.