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Finding the Fourth Proportional to 37,509.78, 51,722.28 and 24,075.96

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Solution

The fourth proportional to 37,509.78, 51,722.28 and 24,075.96 is: 33,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,509.78 : 51,722.28 = 24,075.96 : x
  2. Step 2: Convert to fraction form
    37,509.78/51,722.28 = 24,075.96/x
  3. Step 3: Cross multiply
    37,509.78x = 51,722.28 × 24,075.96
  4. Step 4: Simplify right side
    37,509.78x = 1,245,263,544.39
  5. Step 5: Solve for x
    x = 1,245,263,544.39/37,509.78
  6. Step 6: Final answer
    x = 33,198.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.