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Finding the Fourth Proportional to 82,886.28, 114,383 and 45,160.54

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Solution

The fourth proportional to 82,886.28, 114,383 and 45,160.54 is: 62,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,886.28 : 114,383 = 45,160.54 : x
  2. Step 2: Convert to fraction form
    82,886.28/114,383 = 45,160.54/x
  3. Step 3: Cross multiply
    82,886.28x = 114,383 × 45,160.54
  4. Step 4: Simplify right side
    82,886.28x = 5,165,598,046.82
  5. Step 5: Solve for x
    x = 5,165,598,046.82/82,886.28
  6. Step 6: Final answer
    x = 62,321.51

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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.