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Finding the Fourth Proportional to 81,682.86, 112,718.16 and 45,874.38

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Solution

The fourth proportional to 81,682.86, 112,718.16 and 45,874.38 is: 63,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,682.86 : 112,718.16 = 45,874.38 : x
  2. Step 2: Convert to fraction form
    81,682.86/112,718.16 = 45,874.38/x
  3. Step 3: Cross multiply
    81,682.86x = 112,718.16 × 45,874.38
  4. Step 4: Simplify right side
    81,682.86x = 5,170,875,704.74
  5. Step 5: Solve for x
    x = 5,170,875,704.74/81,682.86
  6. Step 6: Final answer
    x = 63,304.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.