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Finding the Fourth Proportional to 30,485.97, 45,729.77 and 8,299.80

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Solution

The fourth proportional to 30,485.97, 45,729.77 and 8,299.80 is: 12,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,485.97 : 45,729.77 = 8,299.80 : x
  2. Step 2: Convert to fraction form
    30,485.97/45,729.77 = 8,299.80/x
  3. Step 3: Cross multiply
    30,485.97x = 45,729.77 × 8,299.80
  4. Step 4: Simplify right side
    30,485.97x = 379,547,942.50
  5. Step 5: Solve for x
    x = 379,547,942.50/30,485.97
  6. Step 6: Final answer
    x = 12,449.92

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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.