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Finding the Fourth Proportional to 37,674.39, 51,994.82 and 24,075

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Solution

The fourth proportional to 37,674.39, 51,994.82 and 24,075 is: 33,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,674.39 : 51,994.82 = 24,075 : x
  2. Step 2: Convert to fraction form
    37,674.39/51,994.82 = 24,075/x
  3. Step 3: Cross multiply
    37,674.39x = 51,994.82 × 24,075
  4. Step 4: Simplify right side
    37,674.39x = 1,251,775,291.50
  5. Step 5: Solve for x
    x = 1,251,775,291.50/37,674.39
  6. Step 6: Final answer
    x = 33,226.16

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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.