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Finding the Fourth Proportional to 65,873.82, 98,814.78 and 26,425.80

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Solution

The fourth proportional to 65,873.82, 98,814.78 and 26,425.80 is: 39,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,873.82 : 98,814.78 = 26,425.80 : x
  2. Step 2: Convert to fraction form
    65,873.82/98,814.78 = 26,425.80/x
  3. Step 3: Cross multiply
    65,873.82x = 98,814.78 × 26,425.80
  4. Step 4: Simplify right side
    65,873.82x = 2,611,259,613.32
  5. Step 5: Solve for x
    x = 2,611,259,613.32/65,873.82
  6. Step 6: Final answer
    x = 39,640.32

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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.