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Finding the Fourth Proportional to 71,294.64, 106,939.68 and 33,881.68

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Solution

The fourth proportional to 71,294.64, 106,939.68 and 33,881.68 is: 50,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,294.64 : 106,939.68 = 33,881.68 : x
  2. Step 2: Convert to fraction form
    71,294.64/106,939.68 = 33,881.68/x
  3. Step 3: Cross multiply
    71,294.64x = 106,939.68 × 33,881.68
  4. Step 4: Simplify right side
    71,294.64x = 3,623,296,017.06
  5. Step 5: Solve for x
    x = 3,623,296,017.06/71,294.64
  6. Step 6: Final answer
    x = 50,821.44

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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.