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Finding the Fourth Proportional to 65,714.68, 98,619.54 and 26,282.80

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Solution

The fourth proportional to 65,714.68, 98,619.54 and 26,282.80 is: 39,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714.68 : 98,619.54 = 26,282.80 : x
  2. Step 2: Convert to fraction form
    65,714.68/98,619.54 = 26,282.80/x
  3. Step 3: Cross multiply
    65,714.68x = 98,619.54 × 26,282.80
  4. Step 4: Simplify right side
    65,714.68x = 2,591,997,645.91
  5. Step 5: Solve for x
    x = 2,591,997,645.91/65,714.68
  6. Step 6: Final answer
    x = 39,443.21

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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.