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Finding the Fourth Proportional to 77,055.96, 115,593.16 and 32,676.94

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Solution

The fourth proportional to 77,055.96, 115,593.16 and 32,676.94 is: 49,019.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,055.96 : 115,593.16 = 32,676.94 : x
  2. Step 2: Convert to fraction form
    77,055.96/115,593.16 = 32,676.94/x
  3. Step 3: Cross multiply
    77,055.96x = 115,593.16 × 32,676.94
  4. Step 4: Simplify right side
    77,055.96x = 3,777,230,753.73
  5. Step 5: Solve for x
    x = 3,777,230,753.73/77,055.96
  6. Step 6: Final answer
    x = 49,019.32

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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.