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Finding the Fourth Proportional to 70,213.20, 96,893.04 and 38,381.52

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Solution

The fourth proportional to 70,213.20, 96,893.04 and 38,381.52 is: 52,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,213.20 : 96,893.04 = 38,381.52 : x
  2. Step 2: Convert to fraction form
    70,213.20/96,893.04 = 38,381.52/x
  3. Step 3: Cross multiply
    70,213.20x = 96,893.04 × 38,381.52
  4. Step 4: Simplify right side
    70,213.20x = 3,718,902,152.62
  5. Step 5: Solve for x
    x = 3,718,902,152.62/70,213.20
  6. Step 6: Final answer
    x = 52,965.85

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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.