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Finding the Fourth Proportional to 82,382.07, 113,687.44 and 44,656.32

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Solution

The fourth proportional to 82,382.07, 113,687.44 and 44,656.32 is: 61,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,382.07 : 113,687.44 = 44,656.32 : x
  2. Step 2: Convert to fraction form
    82,382.07/113,687.44 = 44,656.32/x
  3. Step 3: Cross multiply
    82,382.07x = 113,687.44 × 44,656.32
  4. Step 4: Simplify right side
    82,382.07x = 5,076,863,015.31
  5. Step 5: Solve for x
    x = 5,076,863,015.31/82,382.07
  6. Step 6: Final answer
    x = 61,625.82

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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.