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Finding the Fourth Proportional to 70,045.31, 96,662.42 and 38,214.20

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Solution

The fourth proportional to 70,045.31, 96,662.42 and 38,214.20 is: 52,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,045.31 : 96,662.42 = 38,214.20 : x
  2. Step 2: Convert to fraction form
    70,045.31/96,662.42 = 38,214.20/x
  3. Step 3: Cross multiply
    70,045.31x = 96,662.42 × 38,214.20
  4. Step 4: Simplify right side
    70,045.31x = 3,693,876,375.98
  5. Step 5: Solve for x
    x = 3,693,876,375.98/70,045.31
  6. Step 6: Final answer
    x = 52,735.53

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