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Finding the Fourth Proportional to 20,550.68, 30,779.30 and 16,080.50

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Solution

The fourth proportional to 20,550.68, 30,779.30 and 16,080.50 is: 24,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,550.68 : 30,779.30 = 16,080.50 : x
  2. Step 2: Convert to fraction form
    20,550.68/30,779.30 = 16,080.50/x
  3. Step 3: Cross multiply
    20,550.68x = 30,779.30 × 16,080.50
  4. Step 4: Simplify right side
    20,550.68x = 494,946,533.65
  5. Step 5: Solve for x
    x = 494,946,533.65/20,550.68
  6. Step 6: Final answer
    x = 24,084.19

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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.