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Finding the Fourth Proportional to 37,124.88, 55,685.84 and 12,166.80

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Solution

The fourth proportional to 37,124.88, 55,685.84 and 12,166.80 is: 18,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,124.88 : 55,685.84 = 12,166.80 : x
  2. Step 2: Convert to fraction form
    37,124.88/55,685.84 = 12,166.80/x
  3. Step 3: Cross multiply
    37,124.88x = 55,685.84 × 12,166.80
  4. Step 4: Simplify right side
    37,124.88x = 677,518,478.11
  5. Step 5: Solve for x
    x = 677,518,478.11/37,124.88
  6. Step 6: Final answer
    x = 18,249.71

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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.