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Finding the Fourth Proportional to 82,456.34, 113,758.70 and 48,466.31

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Solution

The fourth proportional to 82,456.34, 113,758.70 and 48,466.31 is: 66,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,456.34 : 113,758.70 = 48,466.31 : x
  2. Step 2: Convert to fraction form
    82,456.34/113,758.70 = 48,466.31/x
  3. Step 3: Cross multiply
    82,456.34x = 113,758.70 × 48,466.31
  4. Step 4: Simplify right side
    82,456.34x = 5,513,463,608.27
  5. Step 5: Solve for x
    x = 5,513,463,608.27/82,456.34
  6. Step 6: Final answer
    x = 66,865.25

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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.