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Finding the Fourth Proportional to 83,029.38, 114,579.93 and 47,219.34

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Solution

The fourth proportional to 83,029.38, 114,579.93 and 47,219.34 is: 65,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,029.38 : 114,579.93 = 47,219.34 : x
  2. Step 2: Convert to fraction form
    83,029.38/114,579.93 = 47,219.34/x
  3. Step 3: Cross multiply
    83,029.38x = 114,579.93 × 47,219.34
  4. Step 4: Simplify right side
    83,029.38x = 5,410,388,671.85
  5. Step 5: Solve for x
    x = 5,410,388,671.85/83,029.38
  6. Step 6: Final answer
    x = 65,162.34

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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.