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Finding the Fourth Proportional to 37,033.88, 51,106.85 and 20,266.88

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Solution

The fourth proportional to 37,033.88, 51,106.85 and 20,266.88 is: 27,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,033.88 : 51,106.85 = 20,266.88 : x
  2. Step 2: Convert to fraction form
    37,033.88/51,106.85 = 20,266.88/x
  3. Step 3: Cross multiply
    37,033.88x = 51,106.85 × 20,266.88
  4. Step 4: Simplify right side
    37,033.88x = 1,035,776,115.26
  5. Step 5: Solve for x
    x = 1,035,776,115.26/37,033.88
  6. Step 6: Final answer
    x = 27,968.34

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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.