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Finding the Fourth Proportional to 51,398.44, 70,929.84 and 29,042.44

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Solution

The fourth proportional to 51,398.44, 70,929.84 and 29,042.44 is: 40,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,398.44 : 70,929.84 = 29,042.44 : x
  2. Step 2: Convert to fraction form
    51,398.44/70,929.84 = 29,042.44/x
  3. Step 3: Cross multiply
    51,398.44x = 70,929.84 × 29,042.44
  4. Step 4: Simplify right side
    51,398.44x = 2,059,975,553.99
  5. Step 5: Solve for x
    x = 2,059,975,553.99/51,398.44
  6. Step 6: Final answer
    x = 40,078.56

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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.