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Finding the Fourth Proportional to 82,238.37, 113,482.62 and 46,431.92

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Solution

The fourth proportional to 82,238.37, 113,482.62 and 46,431.92 is: 64,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,238.37 : 113,482.62 = 46,431.92 : x
  2. Step 2: Convert to fraction form
    82,238.37/113,482.62 = 46,431.92/x
  3. Step 3: Cross multiply
    82,238.37x = 113,482.62 × 46,431.92
  4. Step 4: Simplify right side
    82,238.37x = 5,269,215,533.44
  5. Step 5: Solve for x
    x = 5,269,215,533.44/82,238.37
  6. Step 6: Final answer
    x = 64,072.47

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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.