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Finding the Fourth Proportional to 30,992.29, 42,769.15 and 16,845.14

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Solution

The fourth proportional to 30,992.29, 42,769.15 and 16,845.14 is: 23,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.29 : 42,769.15 = 16,845.14 : x
  2. Step 2: Convert to fraction form
    30,992.29/42,769.15 = 16,845.14/x
  3. Step 3: Cross multiply
    30,992.29x = 42,769.15 × 16,845.14
  4. Step 4: Simplify right side
    30,992.29x = 720,452,021.36
  5. Step 5: Solve for x
    x = 720,452,021.36/30,992.29
  6. Step 6: Final answer
    x = 23,246.17

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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.