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Finding the Fourth Proportional to 82,196.71, 113,431.26 and 46,386.61

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Solution

The fourth proportional to 82,196.71, 113,431.26 and 46,386.61 is: 64,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,196.71 : 113,431.26 = 46,386.61 : x
  2. Step 2: Convert to fraction form
    82,196.71/113,431.26 = 46,386.61/x
  3. Step 3: Cross multiply
    82,196.71x = 113,431.26 × 46,386.61
  4. Step 4: Simplify right side
    82,196.71x = 5,261,691,619.43
  5. Step 5: Solve for x
    x = 5,261,691,619.43/82,196.71
  6. Step 6: Final answer
    x = 64,013.41

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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.