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Finding the Fourth Proportional to 83,759.38, 115,549.41 and 51,464.68

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Solution

The fourth proportional to 83,759.38, 115,549.41 and 51,464.68 is: 70,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,759.38 : 115,549.41 = 51,464.68 : x
  2. Step 2: Convert to fraction form
    83,759.38/115,549.41 = 51,464.68/x
  3. Step 3: Cross multiply
    83,759.38x = 115,549.41 × 51,464.68
  4. Step 4: Simplify right side
    83,759.38x = 5,946,713,409.84
  5. Step 5: Solve for x
    x = 5,946,713,409.84/83,759.38
  6. Step 6: Final answer
    x = 70,997.58

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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.