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Finding the Fourth Proportional to 70,034.30, 96,647.17 and 38,203.20

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Solution

The fourth proportional to 70,034.30, 96,647.17 and 38,203.20 is: 52,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,034.30 : 96,647.17 = 38,203.20 : x
  2. Step 2: Convert to fraction form
    70,034.30/96,647.17 = 38,203.20/x
  3. Step 3: Cross multiply
    70,034.30x = 96,647.17 × 38,203.20
  4. Step 4: Simplify right side
    70,034.30x = 3,692,231,164.94
  5. Step 5: Solve for x
    x = 3,692,231,164.94/70,034.30
  6. Step 6: Final answer
    x = 52,720.33

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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.