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Finding the Fourth Proportional to 30,771, 42,463.98 and 17,525.56

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Solution

The fourth proportional to 30,771, 42,463.98 and 17,525.56 is: 24,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771 : 42,463.98 = 17,525.56 : x
  2. Step 2: Convert to fraction form
    30,771/42,463.98 = 17,525.56/x
  3. Step 3: Cross multiply
    30,771x = 42,463.98 × 17,525.56
  4. Step 4: Simplify right side
    30,771x = 744,205,029.33
  5. Step 5: Solve for x
    x = 744,205,029.33/30,771
  6. Step 6: Final answer
    x = 24,185.27

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