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Finding the Fourth Proportional to 65,249.07, 97,857.62 and 20,866.62

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Solution

The fourth proportional to 65,249.07, 97,857.62 and 20,866.62 is: 31,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,249.07 : 97,857.62 = 20,866.62 : x
  2. Step 2: Convert to fraction form
    65,249.07/97,857.62 = 20,866.62/x
  3. Step 3: Cross multiply
    65,249.07x = 97,857.62 × 20,866.62
  4. Step 4: Simplify right side
    65,249.07x = 2,041,957,770.64
  5. Step 5: Solve for x
    x = 2,041,957,770.64/65,249.07
  6. Step 6: Final answer
    x = 31,294.82

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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.