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Finding the Fourth Proportional to 83,181.76, 114,758.28 and 51,295.30

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Solution

The fourth proportional to 83,181.76, 114,758.28 and 51,295.30 is: 70,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,181.76 : 114,758.28 = 51,295.30 : x
  2. Step 2: Convert to fraction form
    83,181.76/114,758.28 = 51,295.30/x
  3. Step 3: Cross multiply
    83,181.76x = 114,758.28 × 51,295.30
  4. Step 4: Simplify right side
    83,181.76x = 5,886,560,400.08
  5. Step 5: Solve for x
    x = 5,886,560,400.08/83,181.76
  6. Step 6: Final answer
    x = 70,767.44

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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.