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Finding the Fourth Proportional to 47,300.52, 65,286.09 and 28,434

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Solution

The fourth proportional to 47,300.52, 65,286.09 and 28,434 is: 39,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,300.52 : 65,286.09 = 28,434 : x
  2. Step 2: Convert to fraction form
    47,300.52/65,286.09 = 28,434/x
  3. Step 3: Cross multiply
    47,300.52x = 65,286.09 × 28,434
  4. Step 4: Simplify right side
    47,300.52x = 1,856,344,683.06
  5. Step 5: Solve for x
    x = 1,856,344,683.06/47,300.52
  6. Step 6: Final answer
    x = 39,245.76

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