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Finding the Fourth Proportional to 37,603, 51,892.50 and 20,836.36

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Solution

The fourth proportional to 37,603, 51,892.50 and 20,836.36 is: 28,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,603 : 51,892.50 = 20,836.36 : x
  2. Step 2: Convert to fraction form
    37,603/51,892.50 = 20,836.36/x
  3. Step 3: Cross multiply
    37,603x = 51,892.50 × 20,836.36
  4. Step 4: Simplify right side
    37,603x = 1,081,250,811.30
  5. Step 5: Solve for x
    x = 1,081,250,811.30/37,603
  6. Step 6: Final answer
    x = 28,754.38

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Why These Related Problems?

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