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Finding the Fourth Proportional to 29,723.98, 41,012.35 and 20,165.17

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Solution

The fourth proportional to 29,723.98, 41,012.35 and 20,165.17 is: 27,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,723.98 : 41,012.35 = 20,165.17 : x
  2. Step 2: Convert to fraction form
    29,723.98/41,012.35 = 20,165.17/x
  3. Step 3: Cross multiply
    29,723.98x = 41,012.35 × 20,165.17
  4. Step 4: Simplify right side
    29,723.98x = 827,021,009.85
  5. Step 5: Solve for x
    x = 827,021,009.85/29,723.98
  6. Step 6: Final answer
    x = 27,823.36

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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.