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Finding the Fourth Proportional to 82,449.54, 113,782.86 and 46,638.86

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Solution

The fourth proportional to 82,449.54, 113,782.86 and 46,638.86 is: 64,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,449.54 : 113,782.86 = 46,638.86 : x
  2. Step 2: Convert to fraction form
    82,449.54/113,782.86 = 46,638.86/x
  3. Step 3: Cross multiply
    82,449.54x = 113,782.86 × 46,638.86
  4. Step 4: Simplify right side
    82,449.54x = 5,306,702,309.03
  5. Step 5: Solve for x
    x = 5,306,702,309.03/82,449.54
  6. Step 6: Final answer
    x = 64,363.03

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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.