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Finding the Fourth Proportional to 93,673.96, 140,523.90 and 38,257

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Solution

The fourth proportional to 93,673.96, 140,523.90 and 38,257 is: 57,390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,673.96 : 140,523.90 = 38,257 : x
  2. Step 2: Convert to fraction form
    93,673.96/140,523.90 = 38,257/x
  3. Step 3: Cross multiply
    93,673.96x = 140,523.90 × 38,257
  4. Step 4: Simplify right side
    93,673.96x = 5,376,022,842.30
  5. Step 5: Solve for x
    x = 5,376,022,842.30/93,673.96
  6. Step 6: Final answer
    x = 57,390.79

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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.