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Finding the Fourth Proportional to 82,644.66, 114,049.17 and 46,841.43

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Solution

The fourth proportional to 82,644.66, 114,049.17 and 46,841.43 is: 64,640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,644.66 : 114,049.17 = 46,841.43 : x
  2. Step 2: Convert to fraction form
    82,644.66/114,049.17 = 46,841.43/x
  3. Step 3: Cross multiply
    82,644.66x = 114,049.17 × 46,841.43
  4. Step 4: Simplify right side
    82,644.66x = 5,342,226,213.11
  5. Step 5: Solve for x
    x = 5,342,226,213.11/82,644.66
  6. Step 6: Final answer
    x = 64,640.91

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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.