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Finding the Fourth Proportional to 82,562.60, 123,893.04 and 57,281.96

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Solution

The fourth proportional to 82,562.60, 123,893.04 and 57,281.96 is: 85,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,562.60 : 123,893.04 = 57,281.96 : x
  2. Step 2: Convert to fraction form
    82,562.60/123,893.04 = 57,281.96/x
  3. Step 3: Cross multiply
    82,562.60x = 123,893.04 × 57,281.96
  4. Step 4: Simplify right side
    82,562.60x = 7,096,836,161.56
  5. Step 5: Solve for x
    x = 7,096,836,161.56/82,562.60
  6. Step 6: Final answer
    x = 85,957.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.