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Finding the Fourth Proportional to 51,892.60, 71,582.98 and 34,016.44

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Solution

The fourth proportional to 51,892.60, 71,582.98 and 34,016.44 is: 46,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,892.60 : 71,582.98 = 34,016.44 : x
  2. Step 2: Convert to fraction form
    51,892.60/71,582.98 = 34,016.44/x
  3. Step 3: Cross multiply
    51,892.60x = 71,582.98 × 34,016.44
  4. Step 4: Simplify right side
    51,892.60x = 2,434,998,144.19
  5. Step 5: Solve for x
    x = 2,434,998,144.19/51,892.60
  6. Step 6: Final answer
    x = 46,923.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.