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Finding the Fourth Proportional to 47,563.68, 65,622.80 and 27,687.84

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Solution

The fourth proportional to 47,563.68, 65,622.80 and 27,687.84 is: 38,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,563.68 : 65,622.80 = 27,687.84 : x
  2. Step 2: Convert to fraction form
    47,563.68/65,622.80 = 27,687.84/x
  3. Step 3: Cross multiply
    47,563.68x = 65,622.80 × 27,687.84
  4. Step 4: Simplify right side
    47,563.68x = 1,816,953,586.75
  5. Step 5: Solve for x
    x = 1,816,953,586.75/47,563.68
  6. Step 6: Final answer
    x = 38,200.44

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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.