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Finding the Fourth Proportional to 27,152.43, 40,729.23 and 15,441

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Solution

The fourth proportional to 27,152.43, 40,729.23 and 15,441 is: 23,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,152.43 : 40,729.23 = 15,441 : x
  2. Step 2: Convert to fraction form
    27,152.43/40,729.23 = 15,441/x
  3. Step 3: Cross multiply
    27,152.43x = 40,729.23 × 15,441
  4. Step 4: Simplify right side
    27,152.43x = 628,900,040.43
  5. Step 5: Solve for x
    x = 628,900,040.43/27,152.43
  6. Step 6: Final answer
    x = 23,161.83

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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.