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Finding the Fourth Proportional to 83,671.80, 125,393.67 and 46,176

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Solution

The fourth proportional to 83,671.80, 125,393.67 and 46,176 is: 69,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,671.80 : 125,393.67 = 46,176 : x
  2. Step 2: Convert to fraction form
    83,671.80/125,393.67 = 46,176/x
  3. Step 3: Cross multiply
    83,671.80x = 125,393.67 × 46,176
  4. Step 4: Simplify right side
    83,671.80x = 5,790,178,105.92
  5. Step 5: Solve for x
    x = 5,790,178,105.92/83,671.80
  6. Step 6: Final answer
    x = 69,201.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.