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Finding the Fourth Proportional to 77,251.49, 115,832.12 and 32,855.39

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Solution

The fourth proportional to 77,251.49, 115,832.12 and 32,855.39 is: 49,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,251.49 : 115,832.12 = 32,855.39 : x
  2. Step 2: Convert to fraction form
    77,251.49/115,832.12 = 32,855.39/x
  3. Step 3: Cross multiply
    77,251.49x = 115,832.12 × 32,855.39
  4. Step 4: Simplify right side
    77,251.49x = 3,805,709,848.85
  5. Step 5: Solve for x
    x = 3,805,709,848.85/77,251.49
  6. Step 6: Final answer
    x = 49,263.90

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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.