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Finding the Fourth Proportional to 29,581, 40,821.78 and 20,166.04

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Solution

The fourth proportional to 29,581, 40,821.78 and 20,166.04 is: 27,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,581 : 40,821.78 = 20,166.04 : x
  2. Step 2: Convert to fraction form
    29,581/40,821.78 = 20,166.04/x
  3. Step 3: Cross multiply
    29,581x = 40,821.78 × 20,166.04
  4. Step 4: Simplify right side
    29,581x = 823,213,648.35
  5. Step 5: Solve for x
    x = 823,213,648.35/29,581
  6. Step 6: Final answer
    x = 27,829.14

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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.