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Finding the Fourth Proportional to 83,180.40, 114,789.41 and 46,882.41

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Solution

The fourth proportional to 83,180.40, 114,789.41 and 46,882.41 is: 64,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,180.40 : 114,789.41 = 46,882.41 : x
  2. Step 2: Convert to fraction form
    83,180.40/114,789.41 = 46,882.41/x
  3. Step 3: Cross multiply
    83,180.40x = 114,789.41 × 46,882.41
  4. Step 4: Simplify right side
    83,180.40x = 5,381,604,183.28
  5. Step 5: Solve for x
    x = 5,381,604,183.28/83,180.40
  6. Step 6: Final answer
    x = 64,697.98

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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.