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Finding the Fourth Proportional to 83,796.56, 125,716.44 and 24,634.16

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Solution

The fourth proportional to 83,796.56, 125,716.44 and 24,634.16 is: 36,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,796.56 : 125,716.44 = 24,634.16 : x
  2. Step 2: Convert to fraction form
    83,796.56/125,716.44 = 24,634.16/x
  3. Step 3: Cross multiply
    83,796.56x = 125,716.44 × 24,634.16
  4. Step 4: Simplify right side
    83,796.56x = 3,096,918,897.59
  5. Step 5: Solve for x
    x = 3,096,918,897.59/83,796.56
  6. Step 6: Final answer
    x = 36,957.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.