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Finding the Fourth Proportional to 37,167.58, 55,751.37 and 16,405.66

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Solution

The fourth proportional to 37,167.58, 55,751.37 and 16,405.66 is: 24,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,167.58 : 55,751.37 = 16,405.66 : x
  2. Step 2: Convert to fraction form
    37,167.58/55,751.37 = 16,405.66/x
  3. Step 3: Cross multiply
    37,167.58x = 55,751.37 × 16,405.66
  4. Step 4: Simplify right side
    37,167.58x = 914,638,020.75
  5. Step 5: Solve for x
    x = 914,638,020.75/37,167.58
  6. Step 6: Final answer
    x = 24,608.49

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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.