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Finding the Fourth Proportional to 56,076.36, 83,946.48 and 54,082.48

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Solution

The fourth proportional to 56,076.36, 83,946.48 and 54,082.48 is: 80,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,076.36 : 83,946.48 = 54,082.48 : x
  2. Step 2: Convert to fraction form
    56,076.36/83,946.48 = 54,082.48/x
  3. Step 3: Cross multiply
    56,076.36x = 83,946.48 × 54,082.48
  4. Step 4: Simplify right side
    56,076.36x = 4,540,033,825.67
  5. Step 5: Solve for x
    x = 4,540,033,825.67/56,076.36
  6. Step 6: Final answer
    x = 80,961.64

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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.