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Finding the Fourth Proportional to 82,196.88, 113,431.92 and 46,386.96

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Solution

The fourth proportional to 82,196.88, 113,431.92 and 46,386.96 is: 64,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,196.88 : 113,431.92 = 46,386.96 : x
  2. Step 2: Convert to fraction form
    82,196.88/113,431.92 = 46,386.96/x
  3. Step 3: Cross multiply
    82,196.88x = 113,431.92 × 46,386.96
  4. Step 4: Simplify right side
    82,196.88x = 5,261,761,935.76
  5. Step 5: Solve for x
    x = 5,261,761,935.76/82,196.88
  6. Step 6: Final answer
    x = 64,014.13

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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.