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Finding the Fourth Proportional to 93,843.82, 140,731.71 and 27,266.14

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Solution

The fourth proportional to 93,843.82, 140,731.71 and 27,266.14 is: 40,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,843.82 : 140,731.71 = 27,266.14 : x
  2. Step 2: Convert to fraction form
    93,843.82/140,731.71 = 27,266.14/x
  3. Step 3: Cross multiply
    93,843.82x = 140,731.71 × 27,266.14
  4. Step 4: Simplify right side
    93,843.82x = 3,837,210,507.30
  5. Step 5: Solve for x
    x = 3,837,210,507.30/93,843.82
  6. Step 6: Final answer
    x = 40,889.33

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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.