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Finding the Fourth Proportional to 54,139.49, 81,222.45 and 20,405.93

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Solution

The fourth proportional to 54,139.49, 81,222.45 and 20,405.93 is: 30,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,139.49 : 81,222.45 = 20,405.93 : x
  2. Step 2: Convert to fraction form
    54,139.49/81,222.45 = 20,405.93/x
  3. Step 3: Cross multiply
    54,139.49x = 81,222.45 × 20,405.93
  4. Step 4: Simplify right side
    54,139.49x = 1,657,419,146.49
  5. Step 5: Solve for x
    x = 1,657,419,146.49/54,139.49
  6. Step 6: Final answer
    x = 30,613.87

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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.