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Finding the Fourth Proportional to 82,672.20, 113,982 and 53,549.16

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Solution

The fourth proportional to 82,672.20, 113,982 and 53,549.16 is: 73,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,672.20 : 113,982 = 53,549.16 : x
  2. Step 2: Convert to fraction form
    82,672.20/113,982 = 53,549.16/x
  3. Step 3: Cross multiply
    82,672.20x = 113,982 × 53,549.16
  4. Step 4: Simplify right side
    82,672.20x = 6,103,640,355.12
  5. Step 5: Solve for x
    x = 6,103,640,355.12/82,672.20
  6. Step 6: Final answer
    x = 73,829.42

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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.