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Finding the Fourth Proportional to 37,021.84, 55,538 and 12,053.88

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Solution

The fourth proportional to 37,021.84, 55,538 and 12,053.88 is: 18,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,021.84 : 55,538 = 12,053.88 : x
  2. Step 2: Convert to fraction form
    37,021.84/55,538 = 12,053.88/x
  3. Step 3: Cross multiply
    37,021.84x = 55,538 × 12,053.88
  4. Step 4: Simplify right side
    37,021.84x = 669,448,387.44
  5. Step 5: Solve for x
    x = 669,448,387.44/37,021.84
  6. Step 6: Final answer
    x = 18,082.53

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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.