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Finding the Fourth Proportional to 34,917.12, 48,232.80 and 27,892.80

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Solution

The fourth proportional to 34,917.12, 48,232.80 and 27,892.80 is: 38,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,917.12 : 48,232.80 = 27,892.80 : x
  2. Step 2: Convert to fraction form
    34,917.12/48,232.80 = 27,892.80/x
  3. Step 3: Cross multiply
    34,917.12x = 48,232.80 × 27,892.80
  4. Step 4: Simplify right side
    34,917.12x = 1,345,347,843.84
  5. Step 5: Solve for x
    x = 1,345,347,843.84/34,917.12
  6. Step 6: Final answer
    x = 38,529.75

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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.