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Finding the Fourth Proportional to 82,146.33, 113,352.39 and 46,336.92

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Solution

The fourth proportional to 82,146.33, 113,352.39 and 46,336.92 is: 63,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,146.33 : 113,352.39 = 46,336.92 : x
  2. Step 2: Convert to fraction form
    82,146.33/113,352.39 = 46,336.92/x
  3. Step 3: Cross multiply
    82,146.33x = 113,352.39 × 46,336.92
  4. Step 4: Simplify right side
    82,146.33x = 5,252,400,627.24
  5. Step 5: Solve for x
    x = 5,252,400,627.24/82,146.33
  6. Step 6: Final answer
    x = 63,939.57

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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.