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Finding the Fourth Proportional to 80,362.40, 110,878.14 and 50,152.58

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Solution

The fourth proportional to 80,362.40, 110,878.14 and 50,152.58 is: 69,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,362.40 : 110,878.14 = 50,152.58 : x
  2. Step 2: Convert to fraction form
    80,362.40/110,878.14 = 50,152.58/x
  3. Step 3: Cross multiply
    80,362.40x = 110,878.14 × 50,152.58
  4. Step 4: Simplify right side
    80,362.40x = 5,560,824,786.60
  5. Step 5: Solve for x
    x = 5,560,824,786.60/80,362.40
  6. Step 6: Final answer
    x = 69,196.85

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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.