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Finding the Fourth Proportional to 71,583.84, 107,328.36 and 34,149.69

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Solution

The fourth proportional to 71,583.84, 107,328.36 and 34,149.69 is: 51,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,583.84 : 107,328.36 = 34,149.69 : x
  2. Step 2: Convert to fraction form
    71,583.84/107,328.36 = 34,149.69/x
  3. Step 3: Cross multiply
    71,583.84x = 107,328.36 × 34,149.69
  4. Step 4: Simplify right side
    71,583.84x = 3,665,229,685.57
  5. Step 5: Solve for x
    x = 3,665,229,685.57/71,583.84
  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.