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Finding the Fourth Proportional to 71,708.40, 107,562.60 and 54,795.60

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Solution

The fourth proportional to 71,708.40, 107,562.60 and 54,795.60 is: 82,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,708.40 : 107,562.60 = 54,795.60 : x
  2. Step 2: Convert to fraction form
    71,708.40/107,562.60 = 54,795.60/x
  3. Step 3: Cross multiply
    71,708.40x = 107,562.60 × 54,795.60
  4. Step 4: Simplify right side
    71,708.40x = 5,893,957,204.56
  5. Step 5: Solve for x
    x = 5,893,957,204.56/71,708.40
  6. Step 6: Final answer
    x = 82,193.40

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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.