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Finding the Fourth Proportional to 82,586.30, 114,016.38 and 54,374

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Solution

The fourth proportional to 82,586.30, 114,016.38 and 54,374 is: 75,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,586.30 : 114,016.38 = 54,374 : x
  2. Step 2: Convert to fraction form
    82,586.30/114,016.38 = 54,374/x
  3. Step 3: Cross multiply
    82,586.30x = 114,016.38 × 54,374
  4. Step 4: Simplify right side
    82,586.30x = 6,199,526,646.12
  5. Step 5: Solve for x
    x = 6,199,526,646.12/82,586.30
  6. Step 6: Final answer
    x = 75,067.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.