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Finding the Fourth Proportional to 29,705.96, 41,009.46 and 20,196.20

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Solution

The fourth proportional to 29,705.96, 41,009.46 and 20,196.20 is: 27,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705.96 : 41,009.46 = 20,196.20 : x
  2. Step 2: Convert to fraction form
    29,705.96/41,009.46 = 20,196.20/x
  3. Step 3: Cross multiply
    29,705.96x = 41,009.46 × 20,196.20
  4. Step 4: Simplify right side
    29,705.96x = 828,235,256.05
  5. Step 5: Solve for x
    x = 828,235,256.05/29,705.96
  6. Step 6: Final answer
    x = 27,881.11

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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.