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Finding the Fourth Proportional to 82,003.26, 113,175.36 and 46,200.36

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Solution

The fourth proportional to 82,003.26, 113,175.36 and 46,200.36 is: 63,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.26 : 113,175.36 = 46,200.36 : x
  2. Step 2: Convert to fraction form
    82,003.26/113,175.36 = 46,200.36/x
  3. Step 3: Cross multiply
    82,003.26x = 113,175.36 × 46,200.36
  4. Step 4: Simplify right side
    82,003.26x = 5,228,742,375.13
  5. Step 5: Solve for x
    x = 5,228,742,375.13/82,003.26
  6. Step 6: Final answer
    x = 63,762.62

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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.