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Finding the Fourth Proportional to 55,740, 76,921.20 and 30,589.50

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Solution

The fourth proportional to 55,740, 76,921.20 and 30,589.50 is: 42,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,740 : 76,921.20 = 30,589.50 : x
  2. Step 2: Convert to fraction form
    55,740/76,921.20 = 30,589.50/x
  3. Step 3: Cross multiply
    55,740x = 76,921.20 × 30,589.50
  4. Step 4: Simplify right side
    55,740x = 2,352,981,047.40
  5. Step 5: Solve for x
    x = 2,352,981,047.40/55,740
  6. Step 6: Final answer
    x = 42,213.51

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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.