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Finding the Fourth Proportional to 37,164.56, 55,743.82 and 10,509.49

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Solution

The fourth proportional to 37,164.56, 55,743.82 and 10,509.49 is: 15,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,164.56 : 55,743.82 = 10,509.49 : x
  2. Step 2: Convert to fraction form
    37,164.56/55,743.82 = 10,509.49/x
  3. Step 3: Cross multiply
    37,164.56x = 55,743.82 × 10,509.49
  4. Step 4: Simplify right side
    37,164.56x = 585,839,118.85
  5. Step 5: Solve for x
    x = 585,839,118.85/37,164.56
  6. Step 6: Final answer
    x = 15,763.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.