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Finding the Fourth Proportional to 33,615.10, 50,410.84 and 9,916.34

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Solution

The fourth proportional to 33,615.10, 50,410.84 and 9,916.34 is: 14,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,615.10 : 50,410.84 = 9,916.34 : x
  2. Step 2: Convert to fraction form
    33,615.10/50,410.84 = 9,916.34/x
  3. Step 3: Cross multiply
    33,615.10x = 50,410.84 × 9,916.34
  4. Step 4: Simplify right side
    33,615.10x = 499,891,029.13
  5. Step 5: Solve for x
    x = 499,891,029.13/33,615.10
  6. Step 6: Final answer
    x = 14,871.03

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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.