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Finding the Fourth Proportional to 83,029.46, 114,462.11 and 54,685.94

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Solution

The fourth proportional to 83,029.46, 114,462.11 and 54,685.94 is: 75,388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,029.46 : 114,462.11 = 54,685.94 : x
  2. Step 2: Convert to fraction form
    83,029.46/114,462.11 = 54,685.94/x
  3. Step 3: Cross multiply
    83,029.46x = 114,462.11 × 54,685.94
  4. Step 4: Simplify right side
    83,029.46x = 6,259,467,644.14
  5. Step 5: Solve for x
    x = 6,259,467,644.14/83,029.46
  6. Step 6: Final answer
    x = 75,388.52

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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.