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Finding the Fourth Proportional to 24,121.50, 36,119.37 and 19,415.80

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Solution

The fourth proportional to 24,121.50, 36,119.37 and 19,415.80 is: 29,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,121.50 : 36,119.37 = 19,415.80 : x
  2. Step 2: Convert to fraction form
    24,121.50/36,119.37 = 19,415.80/x
  3. Step 3: Cross multiply
    24,121.50x = 36,119.37 × 19,415.80
  4. Step 4: Simplify right side
    24,121.50x = 701,286,472.79
  5. Step 5: Solve for x
    x = 701,286,472.79/24,121.50
  6. Step 6: Final answer
    x = 29,073.09

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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.