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Finding the Fourth Proportional to 37,184.69, 51,415.90 and 36,583.84

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Solution

The fourth proportional to 37,184.69, 51,415.90 and 36,583.84 is: 50,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,184.69 : 51,415.90 = 36,583.84 : x
  2. Step 2: Convert to fraction form
    37,184.69/51,415.90 = 36,583.84/x
  3. Step 3: Cross multiply
    37,184.69x = 51,415.90 × 36,583.84
  4. Step 4: Simplify right side
    37,184.69x = 1,880,991,059.06
  5. Step 5: Solve for x
    x = 1,880,991,059.06/37,184.69
  6. Step 6: Final answer
    x = 50,585.09

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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.