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Finding the Fourth Proportional to 47,109.72, 65,029.92 and 28,243.20

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Solution

The fourth proportional to 47,109.72, 65,029.92 and 28,243.20 is: 38,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,109.72 : 65,029.92 = 28,243.20 : x
  2. Step 2: Convert to fraction form
    47,109.72/65,029.92 = 28,243.20/x
  3. Step 3: Cross multiply
    47,109.72x = 65,029.92 × 28,243.20
  4. Step 4: Simplify right side
    47,109.72x = 1,836,653,036.54
  5. Step 5: Solve for x
    x = 1,836,653,036.54/47,109.72
  6. Step 6: Final answer
    x = 38,986.71

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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.