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Finding the Fourth Proportional to 71,722.48, 98,980.68 and 39,892

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Solution

The fourth proportional to 71,722.48, 98,980.68 and 39,892 is: 55,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,722.48 : 98,980.68 = 39,892 : x
  2. Step 2: Convert to fraction form
    71,722.48/98,980.68 = 39,892/x
  3. Step 3: Cross multiply
    71,722.48x = 98,980.68 × 39,892
  4. Step 4: Simplify right side
    71,722.48x = 3,948,537,286.56
  5. Step 5: Solve for x
    x = 3,948,537,286.56/71,722.48
  6. Step 6: Final answer
    x = 55,052.99

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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.