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Finding the Fourth Proportional to 73,132.51, 109,703.01 and 20,546.09

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Solution

The fourth proportional to 73,132.51, 109,703.01 and 20,546.09 is: 30,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,132.51 : 109,703.01 = 20,546.09 : x
  2. Step 2: Convert to fraction form
    73,132.51/109,703.01 = 20,546.09/x
  3. Step 3: Cross multiply
    73,132.51x = 109,703.01 × 20,546.09
  4. Step 4: Simplify right side
    73,132.51x = 2,253,967,916.73
  5. Step 5: Solve for x
    x = 2,253,967,916.73/73,132.51
  6. Step 6: Final answer
    x = 30,820.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.