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Finding the Fourth Proportional to 47,704.28, 65,834.98 and 27,562.02

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Solution

The fourth proportional to 47,704.28, 65,834.98 and 27,562.02 is: 38,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,704.28 : 65,834.98 = 27,562.02 : x
  2. Step 2: Convert to fraction form
    47,704.28/65,834.98 = 27,562.02/x
  3. Step 3: Cross multiply
    47,704.28x = 65,834.98 × 27,562.02
  4. Step 4: Simplify right side
    47,704.28x = 1,814,545,035.46
  5. Step 5: Solve for x
    x = 1,814,545,035.46/47,704.28
  6. Step 6: Final answer
    x = 38,037.36

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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.