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Finding the Fourth Proportional to 53,071, 73,233.18 and 29,198.68

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Solution

The fourth proportional to 53,071, 73,233.18 and 29,198.68 is: 40,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,071 : 73,233.18 = 29,198.68 : x
  2. Step 2: Convert to fraction form
    53,071/73,233.18 = 29,198.68/x
  3. Step 3: Cross multiply
    53,071x = 73,233.18 × 29,198.68
  4. Step 4: Simplify right side
    53,071x = 2,138,312,188.20
  5. Step 5: Solve for x
    x = 2,138,312,188.20/53,071
  6. Step 6: Final answer
    x = 40,291.54

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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.