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Finding the Fourth Proportional to 55,231.74, 76,221.81 and 31,357.80

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Solution

The fourth proportional to 55,231.74, 76,221.81 and 31,357.80 is: 43,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,231.74 : 76,221.81 = 31,357.80 : x
  2. Step 2: Convert to fraction form
    55,231.74/76,221.81 = 31,357.80/x
  3. Step 3: Cross multiply
    55,231.74x = 76,221.81 × 31,357.80
  4. Step 4: Simplify right side
    55,231.74x = 2,390,148,273.62
  5. Step 5: Solve for x
    x = 2,390,148,273.62/55,231.74
  6. Step 6: Final answer
    x = 43,274.90

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