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Finding the Fourth Proportional to 82,262.85, 113,516.26 and 46,456.39

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Solution

The fourth proportional to 82,262.85, 113,516.26 and 46,456.39 is: 64,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,262.85 : 113,516.26 = 46,456.39 : x
  2. Step 2: Convert to fraction form
    82,262.85/113,516.26 = 46,456.39/x
  3. Step 3: Cross multiply
    82,262.85x = 113,516.26 × 46,456.39
  4. Step 4: Simplify right side
    82,262.85x = 5,273,555,645.90
  5. Step 5: Solve for x
    x = 5,273,555,645.90/82,262.85
  6. Step 6: Final answer
    x = 64,106.16

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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.