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Finding the Fourth Proportional to 80,082.33, 110,536.71 and 52,878.36

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Solution

The fourth proportional to 80,082.33, 110,536.71 and 52,878.36 is: 72,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,082.33 : 110,536.71 = 52,878.36 : x
  2. Step 2: Convert to fraction form
    80,082.33/110,536.71 = 52,878.36/x
  3. Step 3: Cross multiply
    80,082.33x = 110,536.71 × 52,878.36
  4. Step 4: Simplify right side
    80,082.33x = 5,844,999,944.60
  5. Step 5: Solve for x
    x = 5,844,999,944.60/80,082.33
  6. Step 6: Final answer
    x = 72,987.39

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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.