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Finding the Fourth Proportional to 37,205.26, 51,343.26 and 20,438.26

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Solution

The fourth proportional to 37,205.26, 51,343.26 and 20,438.26 is: 28,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205.26 : 51,343.26 = 20,438.26 : x
  2. Step 2: Convert to fraction form
    37,205.26/51,343.26 = 20,438.26/x
  3. Step 3: Cross multiply
    37,205.26x = 51,343.26 × 20,438.26
  4. Step 4: Simplify right side
    37,205.26x = 1,049,366,897.13
  5. Step 5: Solve for x
    x = 1,049,366,897.13/37,205.26
  6. Step 6: Final answer
    x = 28,204.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.