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Finding the Fourth Proportional to 47,696.64, 71,194.98 and 44,178

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Solution

The fourth proportional to 47,696.64, 71,194.98 and 44,178 is: 65,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696.64 : 71,194.98 = 44,178 : x
  2. Step 2: Convert to fraction form
    47,696.64/71,194.98 = 44,178/x
  3. Step 3: Cross multiply
    47,696.64x = 71,194.98 × 44,178
  4. Step 4: Simplify right side
    47,696.64x = 3,145,251,826.44
  5. Step 5: Solve for x
    x = 3,145,251,826.44/47,696.64
  6. Step 6: Final answer
    x = 65,942.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.