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Finding the Fourth Proportional to 30,982.77, 42,754.82 and 17,553.75

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Solution

The fourth proportional to 30,982.77, 42,754.82 and 17,553.75 is: 24,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.77 : 42,754.82 = 17,553.75 : x
  2. Step 2: Convert to fraction form
    30,982.77/42,754.82 = 17,553.75/x
  3. Step 3: Cross multiply
    30,982.77x = 42,754.82 × 17,553.75
  4. Step 4: Simplify right side
    30,982.77x = 750,507,421.58
  5. Step 5: Solve for x
    x = 750,507,421.58/30,982.77
  6. Step 6: Final answer
    x = 24,223.38

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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.