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Finding the Fourth Proportional to 83,714.64, 125,522.76 and 33,796.38

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Solution

The fourth proportional to 83,714.64, 125,522.76 and 33,796.38 is: 50,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,714.64 : 125,522.76 = 33,796.38 : x
  2. Step 2: Convert to fraction form
    83,714.64/125,522.76 = 33,796.38/x
  3. Step 3: Cross multiply
    83,714.64x = 125,522.76 × 33,796.38
  4. Step 4: Simplify right side
    83,714.64x = 4,242,214,895.61
  5. Step 5: Solve for x
    x = 4,242,214,895.61/83,714.64
  6. Step 6: Final answer
    x = 50,674.71

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