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Finding the Fourth Proportional to 71,583.83, 107,328.37 and 34,149.68

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Solution

The fourth proportional to 71,583.83, 107,328.37 and 34,149.68 is: 51,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,583.83 : 107,328.37 = 34,149.68 : x
  2. Step 2: Convert to fraction form
    71,583.83/107,328.37 = 34,149.68/x
  3. Step 3: Cross multiply
    71,583.83x = 107,328.37 × 34,149.68
  4. Step 4: Simplify right side
    71,583.83x = 3,665,229,490.42
  5. Step 5: Solve for x
    x = 3,665,229,490.42/71,583.83
  6. Step 6: Final answer
    x = 51,201.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.