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Finding the Fourth Proportional to 82,012.88, 113,178.12 and 46,203.32

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Solution

The fourth proportional to 82,012.88, 113,178.12 and 46,203.32 is: 63,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,012.88 : 113,178.12 = 46,203.32 : x
  2. Step 2: Convert to fraction form
    82,012.88/113,178.12 = 46,203.32/x
  3. Step 3: Cross multiply
    82,012.88x = 113,178.12 × 46,203.32
  4. Step 4: Simplify right side
    82,012.88x = 5,229,204,895.36
  5. Step 5: Solve for x
    x = 5,229,204,895.36/82,012.88
  6. Step 6: Final answer
    x = 63,760.78

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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.