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Finding the Fourth Proportional to 29,982.38, 44,924.34 and 10,250.16

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Solution

The fourth proportional to 29,982.38, 44,924.34 and 10,250.16 is: 15,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982.38 : 44,924.34 = 10,250.16 : x
  2. Step 2: Convert to fraction form
    29,982.38/44,924.34 = 10,250.16/x
  3. Step 3: Cross multiply
    29,982.38x = 44,924.34 × 10,250.16
  4. Step 4: Simplify right side
    29,982.38x = 460,481,672.89
  5. Step 5: Solve for x
    x = 460,481,672.89/29,982.38
  6. Step 6: Final answer
    x = 15,358.41

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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.