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Finding the Fourth Proportional to 75,811.46, 113,668.53 and 31,468.82

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Solution

The fourth proportional to 75,811.46, 113,668.53 and 31,468.82 is: 47,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,811.46 : 113,668.53 = 31,468.82 : x
  2. Step 2: Convert to fraction form
    75,811.46/113,668.53 = 31,468.82/x
  3. Step 3: Cross multiply
    75,811.46x = 113,668.53 × 31,468.82
  4. Step 4: Simplify right side
    75,811.46x = 3,577,014,510.23
  5. Step 5: Solve for x
    x = 3,577,014,510.23/75,811.46
  6. Step 6: Final answer
    x = 47,183.03

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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.