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Finding the Fourth Proportional to 30,284.69, 45,423.84 and 8,100.31

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Solution

The fourth proportional to 30,284.69, 45,423.84 and 8,100.31 is: 12,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284.69 : 45,423.84 = 8,100.31 : x
  2. Step 2: Convert to fraction form
    30,284.69/45,423.84 = 8,100.31/x
  3. Step 3: Cross multiply
    30,284.69x = 45,423.84 × 8,100.31
  4. Step 4: Simplify right side
    30,284.69x = 367,946,958.27
  5. Step 5: Solve for x
    x = 367,946,958.27/30,284.69
  6. Step 6: Final answer
    x = 12,149.60

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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.