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Finding the Fourth Proportional to 29,311.84, 40,450.38 and 15,883.24

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Solution

The fourth proportional to 29,311.84, 40,450.38 and 15,883.24 is: 21,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,311.84 : 40,450.38 = 15,883.24 : x
  2. Step 2: Convert to fraction form
    29,311.84/40,450.38 = 15,883.24/x
  3. Step 3: Cross multiply
    29,311.84x = 40,450.38 × 15,883.24
  4. Step 4: Simplify right side
    29,311.84x = 642,483,093.63
  5. Step 5: Solve for x
    x = 642,483,093.63/29,311.84
  6. Step 6: Final answer
    x = 21,918.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.