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Finding the Fourth Proportional to 75,462.91, 113,046.46 and 43,806.59

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Solution

The fourth proportional to 75,462.91, 113,046.46 and 43,806.59 is: 65,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,462.91 : 113,046.46 = 43,806.59 : x
  2. Step 2: Convert to fraction form
    75,462.91/113,046.46 = 43,806.59/x
  3. Step 3: Cross multiply
    75,462.91x = 113,046.46 × 43,806.59
  4. Step 4: Simplify right side
    75,462.91x = 4,952,179,924.17
  5. Step 5: Solve for x
    x = 4,952,179,924.17/75,462.91
  6. Step 6: Final answer
    x = 65,624.03

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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.