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Finding the Fourth Proportional to 81,432, 112,382.67 and 47,904.48

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Solution

The fourth proportional to 81,432, 112,382.67 and 47,904.48 is: 66,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,432 : 112,382.67 = 47,904.48 : x
  2. Step 2: Convert to fraction form
    81,432/112,382.67 = 47,904.48/x
  3. Step 3: Cross multiply
    81,432x = 112,382.67 × 47,904.48
  4. Step 4: Simplify right side
    81,432x = 5,383,633,367.36
  5. Step 5: Solve for x
    x = 5,383,633,367.36/81,432
  6. Step 6: Final answer
    x = 66,112.01

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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.