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Finding the Fourth Proportional to 38,270.68, 57,352.56 and 18,544

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Solution

The fourth proportional to 38,270.68, 57,352.56 and 18,544 is: 27,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,270.68 : 57,352.56 = 18,544 : x
  2. Step 2: Convert to fraction form
    38,270.68/57,352.56 = 18,544/x
  3. Step 3: Cross multiply
    38,270.68x = 57,352.56 × 18,544
  4. Step 4: Simplify right side
    38,270.68x = 1,063,545,872.64
  5. Step 5: Solve for x
    x = 1,063,545,872.64/38,270.68
  6. Step 6: Final answer
    x = 27,790.10

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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.