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Finding the Fourth Proportional to 93,839.96, 140,760.16 and 22,762.30

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Solution

The fourth proportional to 93,839.96, 140,760.16 and 22,762.30 is: 34,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,839.96 : 140,760.16 = 22,762.30 : x
  2. Step 2: Convert to fraction form
    93,839.96/140,760.16 = 22,762.30/x
  3. Step 3: Cross multiply
    93,839.96x = 140,760.16 × 22,762.30
  4. Step 4: Simplify right side
    93,839.96x = 3,204,024,876.16
  5. Step 5: Solve for x
    x = 3,204,024,876.16/93,839.96
  6. Step 6: Final answer
    x = 34,143.50

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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.