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Finding the Fourth Proportional to 51,863.98, 71,588.17 and 30,358.76

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Solution

The fourth proportional to 51,863.98, 71,588.17 and 30,358.76 is: 41,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,863.98 : 71,588.17 = 30,358.76 : x
  2. Step 2: Convert to fraction form
    51,863.98/71,588.17 = 30,358.76/x
  3. Step 3: Cross multiply
    51,863.98x = 71,588.17 × 30,358.76
  4. Step 4: Simplify right side
    51,863.98x = 2,173,328,099.05
  5. Step 5: Solve for x
    x = 2,173,328,099.05/51,863.98
  6. Step 6: Final answer
    x = 41,904.38

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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.