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Finding the Fourth Proportional to 93,963.78, 140,966.40 and 27,409.11

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Solution

The fourth proportional to 93,963.78, 140,966.40 and 27,409.11 is: 41,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,963.78 : 140,966.40 = 27,409.11 : x
  2. Step 2: Convert to fraction form
    93,963.78/140,966.40 = 27,409.11/x
  3. Step 3: Cross multiply
    93,963.78x = 140,966.40 × 27,409.11
  4. Step 4: Simplify right side
    93,963.78x = 3,863,763,563.90
  5. Step 5: Solve for x
    x = 3,863,763,563.90/93,963.78
  6. Step 6: Final answer
    x = 41,119.71

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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.