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Finding the Fourth Proportional to 93,412, 140,176.32 and 38,008

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Solution

The fourth proportional to 93,412, 140,176.32 and 38,008 is: 57,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,412 : 140,176.32 = 38,008 : x
  2. Step 2: Convert to fraction form
    93,412/140,176.32 = 38,008/x
  3. Step 3: Cross multiply
    93,412x = 140,176.32 × 38,008
  4. Step 4: Simplify right side
    93,412x = 5,327,821,570.56
  5. Step 5: Solve for x
    x = 5,327,821,570.56/93,412
  6. Step 6: Final answer
    x = 57,035.73

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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.