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Finding the Fourth Proportional to 82,162.49, 113,382.32 and 46,351.58

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Solution

The fourth proportional to 82,162.49, 113,382.32 and 46,351.58 is: 63,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,162.49 : 113,382.32 = 46,351.58 : x
  2. Step 2: Convert to fraction form
    82,162.49/113,382.32 = 46,351.58/x
  3. Step 3: Cross multiply
    82,162.49x = 113,382.32 × 46,351.58
  4. Step 4: Simplify right side
    82,162.49x = 5,255,448,877.40
  5. Step 5: Solve for x
    x = 5,255,448,877.40/82,162.49
  6. Step 6: Final answer
    x = 63,964.09

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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.