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Finding the Fourth Proportional to 54,729.50, 82,108.87 and 19,669.46

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Solution

The fourth proportional to 54,729.50, 82,108.87 and 19,669.46 is: 29,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,729.50 : 82,108.87 = 19,669.46 : x
  2. Step 2: Convert to fraction form
    54,729.50/82,108.87 = 19,669.46/x
  3. Step 3: Cross multiply
    54,729.50x = 82,108.87 × 19,669.46
  4. Step 4: Simplify right side
    54,729.50x = 1,615,036,674.39
  5. Step 5: Solve for x
    x = 1,615,036,674.39/54,729.50
  6. Step 6: Final answer
    x = 29,509.44

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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.