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Finding the Fourth Proportional to 30,961.98, 42,727.77 and 16,814.88

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Solution

The fourth proportional to 30,961.98, 42,727.77 and 16,814.88 is: 23,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961.98 : 42,727.77 = 16,814.88 : x
  2. Step 2: Convert to fraction form
    30,961.98/42,727.77 = 16,814.88/x
  3. Step 3: Cross multiply
    30,961.98x = 42,727.77 × 16,814.88
  4. Step 4: Simplify right side
    30,961.98x = 718,462,325.22
  5. Step 5: Solve for x
    x = 718,462,325.22/30,961.98
  6. Step 6: Final answer
    x = 23,204.66

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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.