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Finding the Fourth Proportional to 55,728.32, 76,893.71 and 33,057.38

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Solution

The fourth proportional to 55,728.32, 76,893.71 and 33,057.38 is: 45,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,728.32 : 76,893.71 = 33,057.38 : x
  2. Step 2: Convert to fraction form
    55,728.32/76,893.71 = 33,057.38/x
  3. Step 3: Cross multiply
    55,728.32x = 76,893.71 × 33,057.38
  4. Step 4: Simplify right side
    55,728.32x = 2,541,904,591.08
  5. Step 5: Solve for x
    x = 2,541,904,591.08/55,728.32
  6. Step 6: Final answer
    x = 45,612.44

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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.