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Finding the Fourth Proportional to 30,842, 42,561.98 and 16,694.96

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Solution

The fourth proportional to 30,842, 42,561.98 and 16,694.96 is: 23,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842 : 42,561.98 = 16,694.96 : x
  2. Step 2: Convert to fraction form
    30,842/42,561.98 = 16,694.96/x
  3. Step 3: Cross multiply
    30,842x = 42,561.98 × 16,694.96
  4. Step 4: Simplify right side
    30,842x = 710,570,553.62
  5. Step 5: Solve for x
    x = 710,570,553.62/30,842
  6. Step 6: Final answer
    x = 23,039.06

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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.