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Finding the Fourth Proportional to 37,142.07, 55,674 and 12,175.62

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Solution

The fourth proportional to 37,142.07, 55,674 and 12,175.62 is: 18,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.07 : 55,674 = 12,175.62 : x
  2. Step 2: Convert to fraction form
    37,142.07/55,674 = 12,175.62/x
  3. Step 3: Cross multiply
    37,142.07x = 55,674 × 12,175.62
  4. Step 4: Simplify right side
    37,142.07x = 677,865,467.88
  5. Step 5: Solve for x
    x = 677,865,467.88/37,142.07
  6. Step 6: Final answer
    x = 18,250.61

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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.