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Finding the Fourth Proportional to 37,491.84, 51,463.33 and 33,147.74

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Solution

The fourth proportional to 37,491.84, 51,463.33 and 33,147.74 is: 45,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,491.84 : 51,463.33 = 33,147.74 : x
  2. Step 2: Convert to fraction form
    37,491.84/51,463.33 = 33,147.74/x
  3. Step 3: Cross multiply
    37,491.84x = 51,463.33 × 33,147.74
  4. Step 4: Simplify right side
    37,491.84x = 1,705,893,082.37
  5. Step 5: Solve for x
    x = 1,705,893,082.37/37,491.84
  6. Step 6: Final answer
    x = 45,500.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.