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Finding the Fourth Proportional to 93,709, 140,563.64 and 38,305

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Solution

The fourth proportional to 93,709, 140,563.64 and 38,305 is: 57,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,709 : 140,563.64 = 38,305 : x
  2. Step 2: Convert to fraction form
    93,709/140,563.64 = 38,305/x
  3. Step 3: Cross multiply
    93,709x = 140,563.64 × 38,305
  4. Step 4: Simplify right side
    93,709x = 5,384,290,230.20
  5. Step 5: Solve for x
    x = 5,384,290,230.20/93,709
  6. Step 6: Final answer
    x = 57,457.56

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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.