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Finding the Fourth Proportional to 70,142.30, 96,796.89 and 38,311.20

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Solution

The fourth proportional to 70,142.30, 96,796.89 and 38,311.20 is: 52,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142.30 : 96,796.89 = 38,311.20 : x
  2. Step 2: Convert to fraction form
    70,142.30/96,796.89 = 38,311.20/x
  3. Step 3: Cross multiply
    70,142.30x = 96,796.89 × 38,311.20
  4. Step 4: Simplify right side
    70,142.30x = 3,708,405,012.17
  5. Step 5: Solve for x
    x = 3,708,405,012.17/70,142.30
  6. Step 6: Final answer
    x = 52,869.74

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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.