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Finding the Fourth Proportional to 93,965.78, 140,969.40 and 27,411.11

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Solution

The fourth proportional to 93,965.78, 140,969.40 and 27,411.11 is: 41,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,965.78 : 140,969.40 = 27,411.11 : x
  2. Step 2: Convert to fraction form
    93,965.78/140,969.40 = 27,411.11/x
  3. Step 3: Cross multiply
    93,965.78x = 140,969.40 × 27,411.11
  4. Step 4: Simplify right side
    93,965.78x = 3,864,127,730.03
  5. Step 5: Solve for x
    x = 3,864,127,730.03/93,965.78
  6. Step 6: Final answer
    x = 41,122.71

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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.