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Finding the Fourth Proportional to 51,630.80, 71,175.08 and 36,496.76

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Solution

The fourth proportional to 51,630.80, 71,175.08 and 36,496.76 is: 50,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,630.80 : 71,175.08 = 36,496.76 : x
  2. Step 2: Convert to fraction form
    51,630.80/71,175.08 = 36,496.76/x
  3. Step 3: Cross multiply
    51,630.80x = 71,175.08 × 36,496.76
  4. Step 4: Simplify right side
    51,630.80x = 2,597,659,274.38
  5. Step 5: Solve for x
    x = 2,597,659,274.38/51,630.80
  6. Step 6: Final answer
    x = 50,312.21

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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.