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Finding the Fourth Proportional to 53,089.56, 73,233.12 and 33,183

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Solution

The fourth proportional to 53,089.56, 73,233.12 and 33,183 is: 45,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,089.56 : 73,233.12 = 33,183 : x
  2. Step 2: Convert to fraction form
    53,089.56/73,233.12 = 33,183/x
  3. Step 3: Cross multiply
    53,089.56x = 73,233.12 × 33,183
  4. Step 4: Simplify right side
    53,089.56x = 2,430,094,620.96
  5. Step 5: Solve for x
    x = 2,430,094,620.96/53,089.56
  6. Step 6: Final answer
    x = 45,773.49

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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.