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Finding the Fourth Proportional to 51,608, 71,219.04 and 29,252

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Solution

The fourth proportional to 51,608, 71,219.04 and 29,252 is: 40,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,608 : 71,219.04 = 29,252 : x
  2. Step 2: Convert to fraction form
    51,608/71,219.04 = 29,252/x
  3. Step 3: Cross multiply
    51,608x = 71,219.04 × 29,252
  4. Step 4: Simplify right side
    51,608x = 2,083,299,358.08
  5. Step 5: Solve for x
    x = 2,083,299,358.08/51,608
  6. Step 6: Final answer
    x = 40,367.76

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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.