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Finding the Fourth Proportional to 82,196.98, 113,431.39 and 46,398.63

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Solution

The fourth proportional to 82,196.98, 113,431.39 and 46,398.63 is: 64,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,196.98 : 113,431.39 = 46,398.63 : x
  2. Step 2: Convert to fraction form
    82,196.98/113,431.39 = 46,398.63/x
  3. Step 3: Cross multiply
    82,196.98x = 113,431.39 × 46,398.63
  4. Step 4: Simplify right side
    82,196.98x = 5,263,061,095.00
  5. Step 5: Solve for x
    x = 5,263,061,095.00/82,196.98
  6. Step 6: Final answer
    x = 64,029.86

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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.