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Finding the Fourth Proportional to 65,493.72, 98,230.68 and 23,931

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Solution

The fourth proportional to 65,493.72, 98,230.68 and 23,931 is: 35,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,493.72 : 98,230.68 = 23,931 : x
  2. Step 2: Convert to fraction form
    65,493.72/98,230.68 = 23,931/x
  3. Step 3: Cross multiply
    65,493.72x = 98,230.68 × 23,931
  4. Step 4: Simplify right side
    65,493.72x = 2,350,758,403.08
  5. Step 5: Solve for x
    x = 2,350,758,403.08/65,493.72
  6. Step 6: Final answer
    x = 35,892.88

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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.