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Finding the Fourth Proportional to 82,220.84, 113,387.74 and 54,576.60

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Solution

The fourth proportional to 82,220.84, 113,387.74 and 54,576.60 is: 75,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,220.84 : 113,387.74 = 54,576.60 : x
  2. Step 2: Convert to fraction form
    82,220.84/113,387.74 = 54,576.60/x
  3. Step 3: Cross multiply
    82,220.84x = 113,387.74 × 54,576.60
  4. Step 4: Simplify right side
    82,220.84x = 6,188,317,330.88
  5. Step 5: Solve for x
    x = 6,188,317,330.88/82,220.84
  6. Step 6: Final answer
    x = 75,264.58

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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.