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Finding the Fourth Proportional to 77,189.58, 115,839.72 and 32,847.48

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Solution

The fourth proportional to 77,189.58, 115,839.72 and 32,847.48 is: 49,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,189.58 : 115,839.72 = 32,847.48 : x
  2. Step 2: Convert to fraction form
    77,189.58/115,839.72 = 32,847.48/x
  3. Step 3: Cross multiply
    77,189.58x = 115,839.72 × 32,847.48
  4. Step 4: Simplify right side
    77,189.58x = 3,805,042,885.91
  5. Step 5: Solve for x
    x = 3,805,042,885.91/77,189.58
  6. Step 6: Final answer
    x = 49,294.77

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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.