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Finding the Fourth Proportional to 37,463.84, 51,682.56 and 24,028.64

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Solution

The fourth proportional to 37,463.84, 51,682.56 and 24,028.64 is: 33,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,463.84 : 51,682.56 = 24,028.64 : x
  2. Step 2: Convert to fraction form
    37,463.84/51,682.56 = 24,028.64/x
  3. Step 3: Cross multiply
    37,463.84x = 51,682.56 × 24,028.64
  4. Step 4: Simplify right side
    37,463.84x = 1,241,861,628.52
  5. Step 5: Solve for x
    x = 1,241,861,628.52/37,463.84
  6. Step 6: Final answer
    x = 33,148.27

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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.