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Finding the Fourth Proportional to 114,568.24, 171,855.24 and 31,462

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Solution

The fourth proportional to 114,568.24, 171,855.24 and 31,462 is: 47,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,568.24 : 171,855.24 = 31,462 : x
  2. Step 2: Convert to fraction form
    114,568.24/171,855.24 = 31,462/x
  3. Step 3: Cross multiply
    114,568.24x = 171,855.24 × 31,462
  4. Step 4: Simplify right side
    114,568.24x = 5,406,909,560.88
  5. Step 5: Solve for x
    x = 5,406,909,560.88/114,568.24
  6. Step 6: Final answer
    x = 47,193.79

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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.