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Finding the Fourth Proportional to 30,767.68, 42,431.52 and 20,153.44

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Solution

The fourth proportional to 30,767.68, 42,431.52 and 20,153.44 is: 27,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767.68 : 42,431.52 = 20,153.44 : x
  2. Step 2: Convert to fraction form
    30,767.68/42,431.52 = 20,153.44/x
  3. Step 3: Cross multiply
    30,767.68x = 42,431.52 × 20,153.44
  4. Step 4: Simplify right side
    30,767.68x = 855,141,092.43
  5. Step 5: Solve for x
    x = 855,141,092.43/30,767.68
  6. Step 6: Final answer
    x = 27,793.49

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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.