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Finding the Fourth Proportional to 52,143.94, 71,889.02 and 41,424.38

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Solution

The fourth proportional to 52,143.94, 71,889.02 and 41,424.38 is: 57,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,143.94 : 71,889.02 = 41,424.38 : x
  2. Step 2: Convert to fraction form
    52,143.94/71,889.02 = 41,424.38/x
  3. Step 3: Cross multiply
    52,143.94x = 71,889.02 × 41,424.38
  4. Step 4: Simplify right side
    52,143.94x = 2,977,957,722.86
  5. Step 5: Solve for x
    x = 2,977,957,722.86/52,143.94
  6. Step 6: Final answer
    x = 57,110.34

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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.