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Finding the Fourth Proportional to 82,883.52, 124,369.83 and 36,133.56

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Solution

The fourth proportional to 82,883.52, 124,369.83 and 36,133.56 is: 54,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,883.52 : 124,369.83 = 36,133.56 : x
  2. Step 2: Convert to fraction form
    82,883.52/124,369.83 = 36,133.56/x
  3. Step 3: Cross multiply
    82,883.52x = 124,369.83 × 36,133.56
  4. Step 4: Simplify right side
    82,883.52x = 4,493,924,714.49
  5. Step 5: Solve for x
    x = 4,493,924,714.49/82,883.52
  6. Step 6: Final answer
    x = 54,219.76

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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.