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Finding the Fourth Proportional to 37,586.03, 51,843.71 and 24,174.25

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Solution

The fourth proportional to 37,586.03, 51,843.71 and 24,174.25 is: 33,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586.03 : 51,843.71 = 24,174.25 : x
  2. Step 2: Convert to fraction form
    37,586.03/51,843.71 = 24,174.25/x
  3. Step 3: Cross multiply
    37,586.03x = 51,843.71 × 24,174.25
  4. Step 4: Simplify right side
    37,586.03x = 1,253,282,737.29
  5. Step 5: Solve for x
    x = 1,253,282,737.29/37,586.03
  6. Step 6: Final answer
    x = 33,344.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.