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Finding the Fourth Proportional to 65,142.80, 97,684.12 and 27,682.90

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Solution

The fourth proportional to 65,142.80, 97,684.12 and 27,682.90 is: 41,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,142.80 : 97,684.12 = 27,682.90 : x
  2. Step 2: Convert to fraction form
    65,142.80/97,684.12 = 27,682.90/x
  3. Step 3: Cross multiply
    65,142.80x = 97,684.12 × 27,682.90
  4. Step 4: Simplify right side
    65,142.80x = 2,704,179,725.55
  5. Step 5: Solve for x
    x = 2,704,179,725.55/65,142.80
  6. Step 6: Final answer
    x = 41,511.57

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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.