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Finding the Fourth Proportional to 17,978,526.40, 26,968,576.80 and 5,200,322.80

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Solution

The fourth proportional to 17,978,526.40, 26,968,576.80 and 5,200,322.80 is: 7,800,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978,526.40 : 26,968,576.80 = 5,200,322.80 : x
  2. Step 2: Convert to fraction form
    17,978,526.40/26,968,576.80 = 5,200,322.80/x
  3. Step 3: Cross multiply
    17,978,526.40x = 26,968,576.80 × 5,200,322.80
  4. Step 4: Simplify right side
    17,978,526.40x = 140,245,304,816,591.03
  5. Step 5: Solve for x
    x = 140,245,304,816,591.03/17,978,526.40
  6. Step 6: Final answer
    x = 7,800,711.90

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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.