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Finding the Fourth Proportional to 81,861.93, 112,976.02 and 46,049.80

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Solution

The fourth proportional to 81,861.93, 112,976.02 and 46,049.80 is: 63,552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861.93 : 112,976.02 = 46,049.80 : x
  2. Step 2: Convert to fraction form
    81,861.93/112,976.02 = 46,049.80/x
  3. Step 3: Cross multiply
    81,861.93x = 112,976.02 × 46,049.80
  4. Step 4: Simplify right side
    81,861.93x = 5,202,523,125.80
  5. Step 5: Solve for x
    x = 5,202,523,125.80/81,861.93
  6. Step 6: Final answer
    x = 63,552.41

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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.