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Finding the Fourth Proportional to 70,105.54, 96,747.29 and 38,274.66

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Solution

The fourth proportional to 70,105.54, 96,747.29 and 38,274.66 is: 52,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105.54 : 96,747.29 = 38,274.66 : x
  2. Step 2: Convert to fraction form
    70,105.54/96,747.29 = 38,274.66/x
  3. Step 3: Cross multiply
    70,105.54x = 96,747.29 × 38,274.66
  4. Step 4: Simplify right side
    70,105.54x = 3,702,969,630.67
  5. Step 5: Solve for x
    x = 3,702,969,630.67/70,105.54
  6. Step 6: Final answer
    x = 52,819.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.