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Finding the Fourth Proportional to 37,135.97, 51,247.72 and 21,220.38

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Solution

The fourth proportional to 37,135.97, 51,247.72 and 21,220.38 is: 29,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,135.97 : 51,247.72 = 21,220.38 : x
  2. Step 2: Convert to fraction form
    37,135.97/51,247.72 = 21,220.38/x
  3. Step 3: Cross multiply
    37,135.97x = 51,247.72 × 21,220.38
  4. Step 4: Simplify right side
    37,135.97x = 1,087,496,119.06
  5. Step 5: Solve for x
    x = 1,087,496,119.06/37,135.97
  6. Step 6: Final answer
    x = 29,284.17

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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.