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Finding the Fourth Proportional to 30,996.32, 42,775.17 and 16,849.13

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Solution

The fourth proportional to 30,996.32, 42,775.17 and 16,849.13 is: 23,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996.32 : 42,775.17 = 16,849.13 : x
  2. Step 2: Convert to fraction form
    30,996.32/42,775.17 = 16,849.13/x
  3. Step 3: Cross multiply
    30,996.32x = 42,775.17 × 16,849.13
  4. Step 4: Simplify right side
    30,996.32x = 720,724,400.10
  5. Step 5: Solve for x
    x = 720,724,400.10/30,996.32
  6. Step 6: Final answer
    x = 23,251.93

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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.