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Finding the Fourth Proportional to 37,039, 51,113.82 and 20,272

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Solution

The fourth proportional to 37,039, 51,113.82 and 20,272 is: 27,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,039 : 51,113.82 = 20,272 : x
  2. Step 2: Convert to fraction form
    37,039/51,113.82 = 20,272/x
  3. Step 3: Cross multiply
    37,039x = 51,113.82 × 20,272
  4. Step 4: Simplify right side
    37,039x = 1,036,179,359.04
  5. Step 5: Solve for x
    x = 1,036,179,359.04/37,039
  6. Step 6: Final answer
    x = 27,975.36

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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.