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Finding the Fourth Proportional to 30,538.89, 42,143.09 and 19,908.45

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Solution

The fourth proportional to 30,538.89, 42,143.09 and 19,908.45 is: 27,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.89 : 42,143.09 = 19,908.45 : x
  2. Step 2: Convert to fraction form
    30,538.89/42,143.09 = 19,908.45/x
  3. Step 3: Cross multiply
    30,538.89x = 42,143.09 × 19,908.45
  4. Step 4: Simplify right side
    30,538.89x = 839,003,500.57
  5. Step 5: Solve for x
    x = 839,003,500.57/30,538.89
  6. Step 6: Final answer
    x = 27,473.28

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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.