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Finding the Fourth Proportional to 30,891.88, 42,631 and 16,744.96

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Solution

The fourth proportional to 30,891.88, 42,631 and 16,744.96 is: 23,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.88 : 42,631 = 16,744.96 : x
  2. Step 2: Convert to fraction form
    30,891.88/42,631 = 16,744.96/x
  3. Step 3: Cross multiply
    30,891.88x = 42,631 × 16,744.96
  4. Step 4: Simplify right side
    30,891.88x = 713,854,389.76
  5. Step 5: Solve for x
    x = 713,854,389.76/30,891.88
  6. Step 6: Final answer
    x = 23,108.16

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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.