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Finding the Fourth Proportional to 31,842.52, 47,750.28 and 15,183.28

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Solution

The fourth proportional to 31,842.52, 47,750.28 and 15,183.28 is: 22,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.52 : 47,750.28 = 15,183.28 : x
  2. Step 2: Convert to fraction form
    31,842.52/47,750.28 = 15,183.28/x
  3. Step 3: Cross multiply
    31,842.52x = 47,750.28 × 15,183.28
  4. Step 4: Simplify right side
    31,842.52x = 725,005,871.32
  5. Step 5: Solve for x
    x = 725,005,871.32/31,842.52
  6. Step 6: Final answer
    x = 22,768.48

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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.