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Finding the Fourth Proportional to 37,091, 55,658.37 and 13,733.84

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Solution

The fourth proportional to 37,091, 55,658.37 and 13,733.84 is: 20,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,091 : 55,658.37 = 13,733.84 : x
  2. Step 2: Convert to fraction form
    37,091/55,658.37 = 13,733.84/x
  3. Step 3: Cross multiply
    37,091x = 55,658.37 × 13,733.84
  4. Step 4: Simplify right side
    37,091x = 764,403,148.24
  5. Step 5: Solve for x
    x = 764,403,148.24/37,091
  6. Step 6: Final answer
    x = 20,608.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.