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Finding the Fourth Proportional to 37,614, 51,907.59 and 20,847

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Solution

The fourth proportional to 37,614, 51,907.59 and 20,847 is: 28,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,614 : 51,907.59 = 20,847 : x
  2. Step 2: Convert to fraction form
    37,614/51,907.59 = 20,847/x
  3. Step 3: Cross multiply
    37,614x = 51,907.59 × 20,847
  4. Step 4: Simplify right side
    37,614x = 1,082,117,528.73
  5. Step 5: Solve for x
    x = 1,082,117,528.73/37,614
  6. Step 6: Final answer
    x = 28,769.01

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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.