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Finding the Fourth Proportional to 30,932.49, 42,705.17 and 20,340.39

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Solution

The fourth proportional to 30,932.49, 42,705.17 and 20,340.39 is: 28,081.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,932.49 : 42,705.17 = 20,340.39 : x
  2. Step 2: Convert to fraction form
    30,932.49/42,705.17 = 20,340.39/x
  3. Step 3: Cross multiply
    30,932.49x = 42,705.17 × 20,340.39
  4. Step 4: Simplify right side
    30,932.49x = 868,639,812.82
  5. Step 5: Solve for x
    x = 868,639,812.82/30,932.49
  6. Step 6: Final answer
    x = 28,081.79

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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.