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Finding the Fourth Proportional to 34,203.96, 47,201.40 and 20,056.68

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Solution

The fourth proportional to 34,203.96, 47,201.40 and 20,056.68 is: 27,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,203.96 : 47,201.40 = 20,056.68 : x
  2. Step 2: Convert to fraction form
    34,203.96/47,201.40 = 20,056.68/x
  3. Step 3: Cross multiply
    34,203.96x = 47,201.40 × 20,056.68
  4. Step 4: Simplify right side
    34,203.96x = 946,703,375.35
  5. Step 5: Solve for x
    x = 946,703,375.35/34,203.96
  6. Step 6: Final answer
    x = 27,678.18

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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.