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Finding the Fourth Proportional to 37,505.70, 51,769.02 and 21,601.38

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Solution

The fourth proportional to 37,505.70, 51,769.02 and 21,601.38 is: 29,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,505.70 : 51,769.02 = 21,601.38 : x
  2. Step 2: Convert to fraction form
    37,505.70/51,769.02 = 21,601.38/x
  3. Step 3: Cross multiply
    37,505.70x = 51,769.02 × 21,601.38
  4. Step 4: Simplify right side
    37,505.70x = 1,118,282,273.25
  5. Step 5: Solve for x
    x = 1,118,282,273.25/37,505.70
  6. Step 6: Final answer
    x = 29,816.33

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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.