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Finding the Fourth Proportional to 30,254.02, 41,744.42 and 17,676.34

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Solution

The fourth proportional to 30,254.02, 41,744.42 and 17,676.34 is: 24,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,254.02 : 41,744.42 = 17,676.34 : x
  2. Step 2: Convert to fraction form
    30,254.02/41,744.42 = 17,676.34/x
  3. Step 3: Cross multiply
    30,254.02x = 41,744.42 × 17,676.34
  4. Step 4: Simplify right side
    30,254.02x = 737,888,561.02
  5. Step 5: Solve for x
    x = 737,888,561.02/30,254.02
  6. Step 6: Final answer
    x = 24,389.77

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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.