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Finding the Fourth Proportional to 47,867.76, 71,769.24 and 16,686

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Solution

The fourth proportional to 47,867.76, 71,769.24 and 16,686 is: 25,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,867.76 : 71,769.24 = 16,686 : x
  2. Step 2: Convert to fraction form
    47,867.76/71,769.24 = 16,686/x
  3. Step 3: Cross multiply
    47,867.76x = 71,769.24 × 16,686
  4. Step 4: Simplify right side
    47,867.76x = 1,197,541,538.64
  5. Step 5: Solve for x
    x = 1,197,541,538.64/47,867.76
  6. Step 6: Final answer
    x = 25,017.71

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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.