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Finding the Fourth Proportional to 66,849.20, 100,288.20 and 20,106.80

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Solution

The fourth proportional to 66,849.20, 100,288.20 and 20,106.80 is: 30,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,849.20 : 100,288.20 = 20,106.80 : x
  2. Step 2: Convert to fraction form
    66,849.20/100,288.20 = 20,106.80/x
  3. Step 3: Cross multiply
    66,849.20x = 100,288.20 × 20,106.80
  4. Step 4: Simplify right side
    66,849.20x = 2,016,474,779.76
  5. Step 5: Solve for x
    x = 2,016,474,779.76/66,849.20
  6. Step 6: Final answer
    x = 30,164.53

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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.