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Finding the Fourth Proportional to 82,511.25, 113,846.01 and 46,701.26

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Solution

The fourth proportional to 82,511.25, 113,846.01 and 46,701.26 is: 64,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,511.25 : 113,846.01 = 46,701.26 : x
  2. Step 2: Convert to fraction form
    82,511.25/113,846.01 = 46,701.26/x
  3. Step 3: Cross multiply
    82,511.25x = 113,846.01 × 46,701.26
  4. Step 4: Simplify right side
    82,511.25x = 5,316,751,795.54
  5. Step 5: Solve for x
    x = 5,316,751,795.54/82,511.25
  6. Step 6: Final answer
    x = 64,436.69

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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.