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Finding the Fourth Proportional to 30,478.97, 42,057.14 and 18,380.07

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Solution

The fourth proportional to 30,478.97, 42,057.14 and 18,380.07 is: 25,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.97 : 42,057.14 = 18,380.07 : x
  2. Step 2: Convert to fraction form
    30,478.97/42,057.14 = 18,380.07/x
  3. Step 3: Cross multiply
    30,478.97x = 42,057.14 × 18,380.07
  4. Step 4: Simplify right side
    30,478.97x = 773,013,085.30
  5. Step 5: Solve for x
    x = 773,013,085.30/30,478.97
  6. Step 6: Final answer
    x = 25,362.18

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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.