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Finding the Fourth Proportional to 82,040.52, 113,216.38 and 46,231.08

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Solution

The fourth proportional to 82,040.52, 113,216.38 and 46,231.08 is: 63,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,040.52 : 113,216.38 = 46,231.08 : x
  2. Step 2: Convert to fraction form
    82,040.52/113,216.38 = 46,231.08/x
  3. Step 3: Cross multiply
    82,040.52x = 113,216.38 × 46,231.08
  4. Step 4: Simplify right side
    82,040.52x = 5,234,115,521.09
  5. Step 5: Solve for x
    x = 5,234,115,521.09/82,040.52
  6. Step 6: Final answer
    x = 63,799.15

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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.