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Finding the Fourth Proportional to 65,714.20, 98,571.30 and 18,329.20

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Solution

The fourth proportional to 65,714.20, 98,571.30 and 18,329.20 is: 27,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714.20 : 98,571.30 = 18,329.20 : x
  2. Step 2: Convert to fraction form
    65,714.20/98,571.30 = 18,329.20/x
  3. Step 3: Cross multiply
    65,714.20x = 98,571.30 × 18,329.20
  4. Step 4: Simplify right side
    65,714.20x = 1,806,733,071.96
  5. Step 5: Solve for x
    x = 1,806,733,071.96/65,714.20
  6. Step 6: Final answer
    x = 27,493.80

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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.