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Finding the Fourth Proportional to 82,335.46, 113,662.14 and 55,158.34

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Solution

The fourth proportional to 82,335.46, 113,662.14 and 55,158.34 is: 76,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,335.46 : 113,662.14 = 55,158.34 : x
  2. Step 2: Convert to fraction form
    82,335.46/113,662.14 = 55,158.34/x
  3. Step 3: Cross multiply
    82,335.46x = 113,662.14 × 55,158.34
  4. Step 4: Simplify right side
    82,335.46x = 6,269,414,963.25
  5. Step 5: Solve for x
    x = 6,269,414,963.25/82,335.46
  6. Step 6: Final answer
    x = 76,144.77

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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.