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Finding the Fourth Proportional to 82,234.63, 113,484.81 and 48,241.36

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Solution

The fourth proportional to 82,234.63, 113,484.81 and 48,241.36 is: 66,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,234.63 : 113,484.81 = 48,241.36 : x
  2. Step 2: Convert to fraction form
    82,234.63/113,484.81 = 48,241.36/x
  3. Step 3: Cross multiply
    82,234.63x = 113,484.81 × 48,241.36
  4. Step 4: Simplify right side
    82,234.63x = 5,474,661,573.74
  5. Step 5: Solve for x
    x = 5,474,661,573.74/82,234.63
  6. Step 6: Final answer
    x = 66,573.68

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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.