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Finding the Fourth Proportional to 114,468.72, 171,613.80 and 47,865.84

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Solution

The fourth proportional to 114,468.72, 171,613.80 and 47,865.84 is: 71,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,468.72 : 171,613.80 = 47,865.84 : x
  2. Step 2: Convert to fraction form
    114,468.72/171,613.80 = 47,865.84/x
  3. Step 3: Cross multiply
    114,468.72x = 171,613.80 × 47,865.84
  4. Step 4: Simplify right side
    114,468.72x = 8,214,438,692.59
  5. Step 5: Solve for x
    x = 8,214,438,692.59/114,468.72
  6. Step 6: Final answer
    x = 71,761.43

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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.