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Finding the Fourth Proportional to 93,996, 140,997.84 and 23,877.12

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Solution

The fourth proportional to 93,996, 140,997.84 and 23,877.12 is: 35,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,996 : 140,997.84 = 23,877.12 : x
  2. Step 2: Convert to fraction form
    93,996/140,997.84 = 23,877.12/x
  3. Step 3: Cross multiply
    93,996x = 140,997.84 × 23,877.12
  4. Step 4: Simplify right side
    93,996x = 3,366,622,345.42
  5. Step 5: Solve for x
    x = 3,366,622,345.42/93,996
  6. Step 6: Final answer
    x = 35,816.66

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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.