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Finding the Fourth Proportional to 65,774.82, 98,537.88 and 32,455.86

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Solution

The fourth proportional to 65,774.82, 98,537.88 and 32,455.86 is: 48,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,774.82 : 98,537.88 = 32,455.86 : x
  2. Step 2: Convert to fraction form
    65,774.82/98,537.88 = 32,455.86/x
  3. Step 3: Cross multiply
    65,774.82x = 98,537.88 × 32,455.86
  4. Step 4: Simplify right side
    65,774.82x = 3,198,131,637.98
  5. Step 5: Solve for x
    x = 3,198,131,637.98/65,774.82
  6. Step 6: Final answer
    x = 48,622.43

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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.