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Finding the Fourth Proportional to 93,844.36, 140,775.70 and 27,285

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Solution

The fourth proportional to 93,844.36, 140,775.70 and 27,285 is: 40,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,844.36 : 140,775.70 = 27,285 : x
  2. Step 2: Convert to fraction form
    93,844.36/140,775.70 = 27,285/x
  3. Step 3: Cross multiply
    93,844.36x = 140,775.70 × 27,285
  4. Step 4: Simplify right side
    93,844.36x = 3,841,064,974.50
  5. Step 5: Solve for x
    x = 3,841,064,974.50/93,844.36
  6. Step 6: Final answer
    x = 40,930.16

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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.