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Finding the Fourth Proportional to 51,469.60, 77,197.92 and 16,412.80

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Solution

The fourth proportional to 51,469.60, 77,197.92 and 16,412.80 is: 24,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,469.60 : 77,197.92 = 16,412.80 : x
  2. Step 2: Convert to fraction form
    51,469.60/77,197.92 = 16,412.80/x
  3. Step 3: Cross multiply
    51,469.60x = 77,197.92 × 16,412.80
  4. Step 4: Simplify right side
    51,469.60x = 1,267,034,021.38
  5. Step 5: Solve for x
    x = 1,267,034,021.38/51,469.60
  6. Step 6: Final answer
    x = 24,617.13

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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.