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Finding the Fourth Proportional to 114,561.24, 171,844.74 and 31,455

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Solution

The fourth proportional to 114,561.24, 171,844.74 and 31,455 is: 47,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,561.24 : 171,844.74 = 31,455 : x
  2. Step 2: Convert to fraction form
    114,561.24/171,844.74 = 31,455/x
  3. Step 3: Cross multiply
    114,561.24x = 171,844.74 × 31,455
  4. Step 4: Simplify right side
    114,561.24x = 5,405,376,296.70
  5. Step 5: Solve for x
    x = 5,405,376,296.70/114,561.24
  6. Step 6: Final answer
    x = 47,183.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.