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Finding the Fourth Proportional to 30,638.66, 42,242.21 and 19,864.44

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Solution

The fourth proportional to 30,638.66, 42,242.21 and 19,864.44 is: 27,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.66 : 42,242.21 = 19,864.44 : x
  2. Step 2: Convert to fraction form
    30,638.66/42,242.21 = 19,864.44/x
  3. Step 3: Cross multiply
    30,638.66x = 42,242.21 × 19,864.44
  4. Step 4: Simplify right side
    30,638.66x = 839,117,821.18
  5. Step 5: Solve for x
    x = 839,117,821.18/30,638.66
  6. Step 6: Final answer
    x = 27,387.55

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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.