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Finding the Fourth Proportional to 65,716.80, 98,575.20 and 18,331.80

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Solution

The fourth proportional to 65,716.80, 98,575.20 and 18,331.80 is: 27,497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,716.80 : 98,575.20 = 18,331.80 : x
  2. Step 2: Convert to fraction form
    65,716.80/98,575.20 = 18,331.80/x
  3. Step 3: Cross multiply
    65,716.80x = 98,575.20 × 18,331.80
  4. Step 4: Simplify right side
    65,716.80x = 1,807,060,851.36
  5. Step 5: Solve for x
    x = 1,807,060,851.36/65,716.80
  6. Step 6: Final answer
    x = 27,497.70

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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.