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Finding the Fourth Proportional to 75,842.88, 113,672.09 and 53,662.66

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Solution

The fourth proportional to 75,842.88, 113,672.09 and 53,662.66 is: 80,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,842.88 : 113,672.09 = 53,662.66 : x
  2. Step 2: Convert to fraction form
    75,842.88/113,672.09 = 53,662.66/x
  3. Step 3: Cross multiply
    75,842.88x = 113,672.09 × 53,662.66
  4. Step 4: Simplify right side
    75,842.88x = 6,099,946,717.16
  5. Step 5: Solve for x
    x = 6,099,946,717.16/75,842.88
  6. Step 6: Final answer
    x = 80,428.73

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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.