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Finding the Fourth Proportional to 93,843.36, 140,774.20 and 27,284

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Solution

The fourth proportional to 93,843.36, 140,774.20 and 27,284 is: 40,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,843.36 : 140,774.20 = 27,284 : x
  2. Step 2: Convert to fraction form
    93,843.36/140,774.20 = 27,284/x
  3. Step 3: Cross multiply
    93,843.36x = 140,774.20 × 27,284
  4. Step 4: Simplify right side
    93,843.36x = 3,840,883,272.80
  5. Step 5: Solve for x
    x = 3,840,883,272.80/93,843.36
  6. Step 6: Final answer
    x = 40,928.66

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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.