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Finding the Fourth Proportional to 83,694.66, 115,491.78 and 45,968.88

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Solution

The fourth proportional to 83,694.66, 115,491.78 and 45,968.88 is: 63,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,694.66 : 115,491.78 = 45,968.88 : x
  2. Step 2: Convert to fraction form
    83,694.66/115,491.78 = 45,968.88/x
  3. Step 3: Cross multiply
    83,694.66x = 115,491.78 × 45,968.88
  4. Step 4: Simplify right side
    83,694.66x = 5,309,027,775.81
  5. Step 5: Solve for x
    x = 5,309,027,775.81/83,694.66
  6. Step 6: Final answer
    x = 63,433.29

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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.