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Finding the Fourth Proportional to 37,045, 51,122.10 and 20,278

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Solution

The fourth proportional to 37,045, 51,122.10 and 20,278 is: 27,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,045 : 51,122.10 = 20,278 : x
  2. Step 2: Convert to fraction form
    37,045/51,122.10 = 20,278/x
  3. Step 3: Cross multiply
    37,045x = 51,122.10 × 20,278
  4. Step 4: Simplify right side
    37,045x = 1,036,653,943.80
  5. Step 5: Solve for x
    x = 1,036,653,943.80/37,045
  6. Step 6: Final answer
    x = 27,983.64

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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.