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Finding the Fourth Proportional to 47,243.75, 70,876.56 and 16,079

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Solution

The fourth proportional to 47,243.75, 70,876.56 and 16,079 is: 24,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,243.75 : 70,876.56 = 16,079 : x
  2. Step 2: Convert to fraction form
    47,243.75/70,876.56 = 16,079/x
  3. Step 3: Cross multiply
    47,243.75x = 70,876.56 × 16,079
  4. Step 4: Simplify right side
    47,243.75x = 1,139,624,208.24
  5. Step 5: Solve for x
    x = 1,139,624,208.24/47,243.75
  6. Step 6: Final answer
    x = 24,122.22

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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.