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Finding the Fourth Proportional to 38,274.84, 57,443.82 and 19,568.68

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Solution

The fourth proportional to 38,274.84, 57,443.82 and 19,568.68 is: 29,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,274.84 : 57,443.82 = 19,568.68 : x
  2. Step 2: Convert to fraction form
    38,274.84/57,443.82 = 19,568.68/x
  3. Step 3: Cross multiply
    38,274.84x = 57,443.82 × 19,568.68
  4. Step 4: Simplify right side
    38,274.84x = 1,124,099,731.56
  5. Step 5: Solve for x
    x = 1,124,099,731.56/38,274.84
  6. Step 6: Final answer
    x = 29,369.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.