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Finding the Fourth Proportional to 37,535.96, 51,800.38 and 20,769.24

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Solution

The fourth proportional to 37,535.96, 51,800.38 and 20,769.24 is: 28,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,535.96 : 51,800.38 = 20,769.24 : x
  2. Step 2: Convert to fraction form
    37,535.96/51,800.38 = 20,769.24/x
  3. Step 3: Cross multiply
    37,535.96x = 51,800.38 × 20,769.24
  4. Step 4: Simplify right side
    37,535.96x = 1,075,854,524.31
  5. Step 5: Solve for x
    x = 1,075,854,524.31/37,535.96
  6. Step 6: Final answer
    x = 28,661.97

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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.