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Finding the Fourth Proportional to 72,896.64, 109,359.78 and 27,914.80

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Solution

The fourth proportional to 72,896.64, 109,359.78 and 27,914.80 is: 41,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,896.64 : 109,359.78 = 27,914.80 : x
  2. Step 2: Convert to fraction form
    72,896.64/109,359.78 = 27,914.80/x
  3. Step 3: Cross multiply
    72,896.64x = 109,359.78 × 27,914.80
  4. Step 4: Simplify right side
    72,896.64x = 3,052,756,386.74
  5. Step 5: Solve for x
    x = 3,052,756,386.74/72,896.64
  6. Step 6: Final answer
    x = 41,877.88

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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.