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Finding the Fourth Proportional to 54,955.84, 82,305.52 and 40,128

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Solution

The fourth proportional to 54,955.84, 82,305.52 and 40,128 is: 60,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,955.84 : 82,305.52 = 40,128 : x
  2. Step 2: Convert to fraction form
    54,955.84/82,305.52 = 40,128/x
  3. Step 3: Cross multiply
    54,955.84x = 82,305.52 × 40,128
  4. Step 4: Simplify right side
    54,955.84x = 3,302,755,906.56
  5. Step 5: Solve for x
    x = 3,302,755,906.56/54,955.84
  6. Step 6: Final answer
    x = 60,098.36

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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.