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Finding the Fourth Proportional to 30,159.92, 41,622 and 20,072.24

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Solution

The fourth proportional to 30,159.92, 41,622 and 20,072.24 is: 27,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159.92 : 41,622 = 20,072.24 : x
  2. Step 2: Convert to fraction form
    30,159.92/41,622 = 20,072.24/x
  3. Step 3: Cross multiply
    30,159.92x = 41,622 × 20,072.24
  4. Step 4: Simplify right side
    30,159.92x = 835,446,773.28
  5. Step 5: Solve for x
    x = 835,446,773.28/30,159.92
  6. Step 6: Final answer
    x = 27,700.56

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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.